Geodesic
Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation
K. Hosseini1 ; M. Mirzazadeh2 ; M. Aligoli3 ; M. Eslami4 ; J.G. Liu5
1 Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.
2 Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157 Rudsar-Vajargah, Iran.
3 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, PO Box 41335-1914 Guilan, Rasht, Iran.
4 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
5 College of Computer, Jiangxi University of Traditional Chinese Medicine, Jiangxi 330004, PR China.
Mathematical modelling of natural phenomena, Tome 15 (2020), article no. 61

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A generalized form of (2+1)-dimensional Hirota bilinear (2D-HB) equation is considered herein in order to study nonlinear waves in fluids and oceans. The present goal is carried out through adopting the simplified Hirota’s method as well as ansatz approaches to retrieve a bunch of rational wave structures from multiple soliton solutions to breather, rational, and complexiton solutions. Some figures corresponding to a series of rational wave structures are provided, illustrating the dynamics of the obtained solutions. The results of the present paper help to reveal the existence of rational wave structures of different types for the 2D-HB equation.
DOI : 10.1051/mmnp/2020018

K. Hosseini 1 ; M. Mirzazadeh 2 ; M. Aligoli 3 ; M. Eslami 4 ; J.G. Liu 5

1 Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.
2 Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157 Rudsar-Vajargah, Iran.
3 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, PO Box 41335-1914 Guilan, Rasht, Iran.
4 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
5 College of Computer, Jiangxi University of Traditional Chinese Medicine, Jiangxi 330004, PR China. 
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K. Hosseini; M. Mirzazadeh; M. Aligoli; M. Eslami; J.G. Liu. Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation. Mathematical modelling of natural phenomena, Tome 15 (2020), article  no. 61. doi: 10.1051/mmnp/2020018

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