Results 81 to 90 of about 27,126 (206)
Lump and Interaction solutions of a geophysical Korteweg–de Vries equation
Results in Physics, 2020 This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic ...
S.T.R. Rizvi +5 more
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Two-mode coupled Burgers equation: Multiple-kink solutions and other exact solutions
Alexandria Engineering Journal, 2018 In this paper, we establish a new two-mode coupled Burgers equation (TMCBE). The necessary conditions that make the multiple kink solutions and the multiple singular kink solutions to TMCBE exist are founded using the simplified bilinear method. Moreover,
H.M. Jaradat
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Journal of Nonlinear Mathematical PhysicsIn this paper, we explore the characteristics of lump and interaction solutions for a (1+1) dimensional Boussinesq equation. By employing the Hirota bilinear method, we derive and analyze the exact solutions of this equation. Specifically, we achieve the
M. Shakeel, Xinge Liu, Abdullah Al-Yaari
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Construction of Nth-order rogue wave solutions for Hirota equation by means of bilinear method
, 2014 10 pages, 2 ...
Mu, Gui, Qin, Zhenyun
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, 2022 The Hirota method to get the soliton solutions for a nonlinear partial differential equation is the mostefficient direct technique researchers use worldwide. This article reviews and explores Hirota’s directtechnique on the KdV equation, which Hirota initially used to clarify his method.
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Advances in Difference Equations, 2019 In the present paper, the potential Kadomtsev–Petviashvili equation and ( 3+1 $3+1$)-dimensional potential-YTSF equation are investigated, which can be used to describe many mathematical and physical backgrounds, e.g., fluid dynamics and communications ...
Rui Cao, Qiulan Zhao, Lin Gao
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Hirota Bilinear Method for Soliton Solutions of the Qiao-Li Equation
Abstract This paper investigates a new integrable nonlinear wave equation proposed by Professor Zhijun Qiao and Professor Shengtai Li, whose multisoliton solutions and interaction dynamics remain insufficiently explored. To fill this research gap, we systematically apply the Hirota bilinear method for the first time, successfully ...
Liang Qin, Yangjie Jia
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Results in PhysicsIn this paper, by using of a transformation with a parameter, together with the Hirota bilinear method, we obtain the 3-solitary wave and 4-solitary wave solutions of the (2+1)-dimensional Ito equation.
Meng-Yao Wang +2 more
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Results in PhysicsThis paper investigates the (n+1) dimensional integrable extension of the Kadomtsev–Petviashvili (KP) equation. The study focuses on extracting Auto-Bäcklund transformations for the given model using the extended homogeneous balance (HB) method in ...
Nauman Raza +4 more
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Ain Shams Engineering JournalNonlinear evolution equations have been found to be useful in modeling complicated wave dynamics in a wide range of applications, including fluid dynamics, nonlinear optics, plasma physics, and other fields of applied sciences.
Fozia Bashir Farooq +4 more
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