@article{MTMT:34196230,
	title = {Mechanical property analysis and structure optimisation of worm gear reducer},
	url = {https://m2.mtmt.hu/api/publication/34196230},
	author = {Yaqin, Y. and Enhui, S. and Yue, Y. and Xuemin, H. and Jun, G.},
	doi = {10.1080/14484846.2023.2174156},
	journal-iso = {AUST J MECH ENG},
	journal = {AUSTRALIAN JOURNAL OF MECHANICAL ENGINEERING},
	unique-id = {34196230},
	issn = {1448-4846},
	year = {2023},
	eissn = {2204-2253}
}

@article{MTMT:32836683,
	title = {Analytical Examination of the Time-dependent Incompressible Boundary Layer with Heat Conduction},
	url = {https://m2.mtmt.hu/api/publication/32836683},
	author = {Barna, Imre Ferenc and Vadászné Bognár, Gabriella and Mátyás, L. and Hriczó, Krisztián},
	doi = {10.1063/5.0081580},
	journal-iso = {AIP CONF PROC},
	journal = {AIP CONFERENCE PROCEEDINGS},
	volume = {2425},
	unique-id = {32836683},
	issn = {0094-243X},
	year = {2022},
	eissn = {1551-7616},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Vadászné Bognár, Gabriella/0000-0002-4070-1376; Hriczó, Krisztián/0000-0003-3298-6495}
}

@article{MTMT:33137727,
	title = {Self-similar analysis of the time-dependent compressible and incompressible boundary layers including heat conduction},
	url = {https://m2.mtmt.hu/api/publication/33137727},
	author = {Barna, Imre Ferenc and Vadászné Bognár, Gabriella and Mátyás, L. and Hriczó, Krisztián},
	doi = {10.1007/s10973-022-11574-3},
	journal-iso = {J THERM ANAL CALORIM},
	journal = {JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY},
	volume = {147},
	unique-id = {33137727},
	issn = {1388-6150},
	year = {2022},
	eissn = {1572-8943},
	pages = {13625-13632},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Vadászné Bognár, Gabriella/0000-0002-4070-1376; Hriczó, Krisztián/0000-0003-3298-6495}
}

@article{MTMT:33121241,
	title = {Self-Similar Solutions of a Gravitating Dark Fluid},
	url = {https://m2.mtmt.hu/api/publication/33121241},
	author = {Barna, Imre Ferenc and Pocsai, Mihály András and Barnaföldi, Gergely Gábor},
	doi = {10.3390/math10183220},
	journal-iso = {MATHEMATICS-BASEL},
	journal = {MATHEMATICS},
	volume = {10},
	unique-id = {33121241},
	keywords = {Anisotropy; Self-similar solution; stiff matter; dark fluid},
	year = {2022},
	eissn = {2227-7390},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Pocsai, Mihály András/0000-0002-5162-5743}
}

@article{MTMT:33017130,
	title = {Time-Dependent Analytic Solutions for Water Waves above Sea of Varying Depths},
	url = {https://m2.mtmt.hu/api/publication/33017130},
	author = {Barna, Imre Ferenc and Pocsai, Mihály András and Matyas, Laszlo},
	doi = {10.3390/math10132311},
	journal-iso = {MATHEMATICS-BASEL},
	journal = {MATHEMATICS},
	volume = {10},
	unique-id = {33017130},
	abstract = {We investigate a hydrodynamic equation system which-with some approximation-is capable of describing the tsunami propagation in the open ocean with the time-dependent self-similar Ansatz. We found analytic solutions of how the wave height and velocity behave in time and space for constant and linear seabed functions. First, we study waves on open water, where the seabed can be considered relatively constant, sufficiently far from the shore. We found original shape functions for the ocean waves. In the second part of the study, we also consider a seabed which is oblique. Most of the solutions can be expressed with special functions. Finally, we apply the most common traveling wave Ansatz and present relative simple, although instructive solutions as well.},
	keywords = {TEMPERATURE; Equation; SCATTERING; PROPAGATION; Partial differential equations; RAYLEIGH-BENARD CONVECTION; Self-similar solutions; BURGERS; Boussinesq; Variational iteration method; physical oceanography; tsunamis; conservation laws and constitutive relations},
	year = {2022},
	eissn = {2227-7390},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Pocsai, Mihály András/0000-0002-5162-5743}
}

@article{MTMT:32836601,
	title = {General self-similar solutions of diffusion equation and related constructions},
	url = {https://m2.mtmt.hu/api/publication/32836601},
	author = {Matyas, L and Barna, Imre Ferenc},
	journal-iso = {ROM J PHYS},
	journal = {ROMANIAN JOURNAL OF PHYSICS},
	volume = {67},
	unique-id = {32836601},
	issn = {1221-146X},
	year = {2022},
	eissn = {1221-146X},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:32499987,
	title = {Analytic solutions of a two-fluid hydrodynamic model},
	url = {https://m2.mtmt.hu/api/publication/32499987},
	author = {Barna, Imre Ferenc and Mátyás, L.},
	doi = {10.3846/mma.2021.13637},
	journal-iso = {MATH MODEL ANAL},
	journal = {MATHEMATICAL MODELLING AND ANALYSIS},
	volume = {26},
	unique-id = {32499987},
	issn = {1392-6292},
	year = {2021},
	eissn = {1648-3510},
	pages = {582-590},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:31272217,
	title = {Analytic self-similar solutions of the Kardar-Parisi-Zhang interface growing equation with various noise terms},
	url = {https://m2.mtmt.hu/api/publication/31272217},
	author = {Barna, Imre Ferenc and Vadászné Bognár, Gabriella and Guedda, M. and Mátyás, L. and Hriczó, Krisztián},
	doi = {10.3846/mma.2020.10459},
	journal-iso = {MATH MODEL ANAL},
	journal = {MATHEMATICAL MODELLING AND ANALYSIS},
	volume = {25},
	unique-id = {31272217},
	issn = {1392-6292},
	year = {2020},
	eissn = {1648-3510},
	pages = {241-256},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Vadászné Bognár, Gabriella/0000-0002-4070-1376; Hriczó, Krisztián/0000-0003-3298-6495}
}

@article{MTMT:31794717,
	title = {Analytic solutions of the two-dimensional kardar-parisi-zhang growing equation},
	url = {https://m2.mtmt.hu/api/publication/31794717},
	author = {Barna, Imre Ferenc and Vadászné Bognár, Gabriella and Mátyás, László and Guedda, M. and Hriczó, Krisztián},
	doi = {10.1063/5.0027197},
	journal-iso = {AIP CONF PROC},
	journal = {AIP CONFERENCE PROCEEDINGS},
	volume = {2293},
	unique-id = {31794717},
	issn = {0094-243X},
	year = {2020},
	eissn = {1551-7616},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Vadászné Bognár, Gabriella/0000-0002-4070-1376; Hriczó, Krisztián/0000-0003-3298-6495}
}

@article{MTMT:31681709,
	title = {Analytic Traveling-Wave Solutions of the Kardar-Parisi-Zhang Interface Growing Equation with Different Kind of Noise Terms},
	url = {https://m2.mtmt.hu/api/publication/31681709},
	author = {Barna, Imre Ferenc and Vadászné Bognár, Gabriella and Mátyás, L. and Guedda, M. and Hriczó, Krisztián},
	doi = {10.1007/978-3-030-56323-3_19},
	journal-iso = {SPRINGER PROC MATH STAT},
	journal = {SPRINGER PROCEEDINGS IN MATHEMATICS AND STATISTICS},
	volume = {333},
	unique-id = {31681709},
	issn = {2194-1009},
	year = {2020},
	eissn = {2194-1017},
	pages = {239-253},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Vadászné Bognár, Gabriella/0000-0002-4070-1376; Hriczó, Krisztián/0000-0003-3298-6495}
}

@article{MTMT:32081029,
	title = {Existence of self-similar solutions of the two-dimensional Navier–Stokes equation for non-Newtonian fluids},
	url = {https://m2.mtmt.hu/api/publication/32081029},
	author = {Wei, D. and Al-Ashhab, S.},
	doi = {10.1016/j.ajmsc.2019.04.001},
	journal-iso = {ARAB J MATH SCI},
	journal = {ARAB JOURNAL OF MATHEMATICAL SCIENCES},
	volume = {26},
	unique-id = {32081029},
	issn = {1319-5166},
	year = {2019},
	pages = {167-178}
}

@article{MTMT:30307727,
	title = {Self-Similarity Analysis of the Nonlinear Schrodinger Equation in the Madelung Form},
	url = {https://m2.mtmt.hu/api/publication/30307727},
	author = {Barna, Imre Ferenc and Pocsai, Mihály András and Mátyás, László},
	doi = {10.1155/2018/7087295},
	journal-iso = {ADV MATH PHYS},
	journal = {ADVANCES IN MATHEMATICAL PHYSICS},
	volume = {2018},
	unique-id = {30307727},
	issn = {1687-9120},
	abstract = {In the present study a particular case of Gross-Pitaevskii or nonlinear Schrodinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation. The obtained system of differential equations is highly nonlinear. Regarding the solutions, a larger coefficient of the nonlinear term yields stronger deviation of the solution from the linear case.},
	year = {2018},
	eissn = {1687-9139},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Pocsai, Mihály András/0000-0002-5162-5743}
}

@article{MTMT:27192393,
	title = {Perturbational self-similar solutions for multi-dimensional camassa-holm-type equations},
	url = {https://m2.mtmt.hu/api/publication/27192393},
	author = {An, H and Kwong, M and Yuen, M},
	journal-iso = {ELECTR J DIFFER EQUAT},
	journal = {ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS},
	volume = {48},
	unique-id = {27192393},
	issn = {1072-6691},
	year = {2017},
	eissn = {1550-6150},
	pages = {1-12}
}

@article{MTMT:26617577,
	title = {PERTURBATIONAL SELF-SIMILAR SOLUTIONS FOR MULTI -DIMENSIONAL CAMASSA-HOLM-TYPE EQUATIONS},
	url = {https://m2.mtmt.hu/api/publication/26617577},
	author = {An, H and Kwong, M and Yuen, M},
	journal-iso = {ELECTR J DIFFER EQUAT},
	journal = {ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS},
	unique-id = {26617577},
	issn = {1072-6691},
	year = {2017},
	eissn = {1550-6150}
}

@article{MTMT:3245229,
	title = {Rayleigh–Bènard convection in the generalized Oberbeck–Boussinesq system},
	url = {https://m2.mtmt.hu/api/publication/3245229},
	author = {Barna, Imre Ferenc and Pocsai, Mihály András and Lökös, Sándor and Mátyás, L},
	doi = {10.1016/j.chaos.2017.06.024},
	journal-iso = {CHAOS SOLITON FRACT},
	journal = {CHAOS SOLITONS & FRACTALS},
	volume = {103},
	unique-id = {3245229},
	issn = {0960-0779},
	keywords = {CHAOS; NUMERICAL-SIMULATION; hydrodynamics; Self-similar solution; RAYLEIGH-BENARD CONVECTION; Self-similar solutions; Oberbeck-Boussinesq approximation},
	year = {2017},
	eissn = {1873-2887},
	pages = {336-341},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Pocsai, Mihály András/0000-0002-5162-5743; Lökös, Sándor/0000-0002-4447-4836}
}

@{MTMT:3280035,
	title = {Self-similar analysis of various Navier-stokes equations in two or three dimensions},
	url = {https://m2.mtmt.hu/api/publication/3280035},
	author = {Barna, Imre Ferenc},
	booktitle = {Handbook on Navier-Stokes Equations: Theory and Applied Analysis},
	unique-id = {3280035},
	year = {2017},
	pages = {275-304},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:26617576,
	title = {Explicitly self-similar solutions for the Euler/Navier-Stokes-Korteweg equations in R-N},
	url = {https://m2.mtmt.hu/api/publication/26617576},
	author = {Chen, Y and Fan, EG and Yuen, MW},
	doi = {10.1016/j.aml.2016.12.001},
	journal-iso = {APPL MATH LETT},
	journal = {APPLIED MATHEMATICS LETTERS},
	volume = {67},
	unique-id = {26617576},
	issn = {0893-9659},
	year = {2017},
	eissn = {1873-5452},
	pages = {46-52}
}

@article{MTMT:26617579,
	title = {Perturbational self-similar solutions for the 2-component Degasperis-Procesi system via a characteristic method},
	url = {https://m2.mtmt.hu/api/publication/26617579},
	author = {An, HL and Cheung, KL and Yuen, MW},
	doi = {10.3906/mat-1509-83},
	journal-iso = {TURK J MATH},
	journal = {TURKISH JOURNAL OF MATHEMATICS},
	volume = {40},
	unique-id = {26617579},
	issn = {1300-0098},
	year = {2016},
	eissn = {1303-6149},
	pages = {1237-1245}
}

@article{MTMT:3018495,
	title = {Self-Similar Analytic Solution of the Two-Dimensional Navier-Stokes Equation with a Non-Newtonian Type of Viscosity},
	url = {https://m2.mtmt.hu/api/publication/3018495},
	author = {Barna, Imre Ferenc and Vadászné Bognár, Gabriella and Hriczó, Krisztián},
	doi = {10.3846/13926292.2016.1136901},
	journal-iso = {MATH MODEL ANAL},
	journal = {MATHEMATICAL MODELLING AND ANALYSIS},
	volume = {21},
	unique-id = {3018495},
	issn = {1392-6292},
	year = {2016},
	eissn = {1648-3510},
	pages = {83-94},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910; Vadászné Bognár, Gabriella/0000-0002-4070-1376; Hriczó, Krisztián/0000-0003-3298-6495}
}

@article{MTMT:3039563,
	title = {Observables and initial conditions for rotating and expanding fireballs with spheroidal symmetry},
	url = {https://m2.mtmt.hu/api/publication/3039563},
	author = {Csörgő, Tamás and Nagy, Márton and Barna, Imre Ferenc},
	doi = {10.1103/PhysRevC.93.024916},
	journal-iso = {PHYS REV C},
	journal = {PHYSICAL REVIEW C},
	volume = {93},
	unique-id = {3039563},
	issn = {2469-9985},
	year = {2016},
	eissn = {2469-9993},
	orcid-numbers = {Csörgő, Tamás/0000-0002-9110-9663; Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:2962097,
	title = {Analytic self-similar solutions of the Oberbeck-Boussinesq equations},
	url = {https://m2.mtmt.hu/api/publication/2962097},
	author = {Barna, Imre Ferenc and Mátyás, László},
	doi = {10.1016/j.chaos.2015.08.002},
	journal-iso = {CHAOS SOLITON FRACT},
	journal = {CHAOS SOLITONS & FRACTALS},
	volume = {78},
	unique-id = {2962097},
	issn = {0960-0779},
	year = {2015},
	eissn = {1873-2887},
	pages = {249-255},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:2758967,
	title = {Analytic solutions for the three-dimensional compressible Navier-Stokes equation},
	url = {https://m2.mtmt.hu/api/publication/2758967},
	author = {Barna, Imre Ferenc and Mátyás, László},
	doi = {10.1088/0169-5983/46/5/055508},
	journal-iso = {FLUID DYN RES},
	journal = {FLUID DYNAMICS RESEARCH},
	volume = {46},
	unique-id = {2758967},
	issn = {0169-5983},
	year = {2014},
	eissn = {1873-7005},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:2839369,
	title = {Self-similar shock wave solutions of the nonlinear Maxwell equations},
	url = {https://m2.mtmt.hu/api/publication/2839369},
	author = {Barna, Imre Ferenc},
	doi = {10.1088/1054-660X/24/8/086002},
	journal-iso = {LASER PHYS},
	journal = {LASER PHYSICS},
	volume = {24},
	unique-id = {2839369},
	issn = {1054-660X},
	year = {2014},
	eissn = {1555-6611},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:23647671,
	title = {Supplement to "Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R-N" [Commun. Nonlinear Sci. Numer. Simul. 17 (2012) 4524-4528]},
	url = {https://m2.mtmt.hu/api/publication/23647671},
	author = {An, HL and Yuen, MW},
	doi = {10.1016/j.cnsns.2012.10.001},
	journal-iso = {COMMUN NONLIN SCI NUMER SIMULAT},
	journal = {COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION},
	volume = {18},
	unique-id = {23647671},
	issn = {1007-5704},
	year = {2013},
	eissn = {1878-7274},
	pages = {1558-1561}
}

@article{MTMT:2491790,
	title = {Analitic Solutions for the one-dimensional compressible Euler equarion with heat conduction with different kind of equation of states},
	url = {https://m2.mtmt.hu/api/publication/2491790},
	author = {Barna, Imre Ferenc and Mátyás, László},
	doi = {10.18514/mmn.2013.694},
	journal-iso = {MISKOLC MATH NOTES},
	journal = {MISKOLC MATHEMATICAL NOTES},
	volume = {14},
	unique-id = {2491790},
	issn = {1787-2405},
	year = {2013},
	eissn = {1787-2413},
	pages = {785-799},
	orcid-numbers = {Barna, Imre Ferenc/0000-0001-6206-3910}
}

@article{MTMT:23647672,
	title = {Self-Similar Solutions of the Compressible Flow in One-Space Dimension},
	url = {https://m2.mtmt.hu/api/publication/23647672},
	author = {Li, TL and Chen, P and Xie, J},
	doi = {10.1155/2013/194704},
	journal-iso = {J APPL MATH},
	journal = {JOURNAL OF APPLIED MATHEMATICS},
	volume = {2013},
	unique-id = {23647672},
	issn = {1110-757X},
	year = {2013},
	eissn = {1687-0042}
}