Results 31 to 40 of about 468 (168)
Frontiers in Physics, 2020 In this article, the lump-type solutions of the new integrable time-dependent coefficient (2+1)-dimensional Kadomtsev-Petviashvili equation are investigated by applying the Hirota bilinear technique and a suitable ansatz.
Aliyu Isa Aliyu +6 more
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The symmetry breaking solutions of the nonlocal Alice–Bob B-type Kadomtsev–Petviashvili system
Results in Physics, 2023 The (2+1)-dimensional B-type Kadomtsev–Petviashvili equation is an integrable model, which can be used to describe the shallow water wave in a fluid. In this paper, the nonlocal Alice–Bob B-type Kadomtsev–Petviashvili system is induced via the principle ...
Peng Dong +3 more
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Journal of Function Spaces, 2021 In this paper, we study the (3+1)-dimensional variable-coefficient nonlinear wave equation which is taken in soliton theory and generated by utilizing the Hirota bilinear technique.
Xuejun Zhou +5 more
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Partial Differential Equations in Applied Mathematics, 2021 New generalized (2+1)-dimensional Boussinesq system with variable coefficients has been introduced. A double Wronskian solutions has been formulated to the new system under certain constraints on the variable coefficients.
Alrazi Abdeljabbar
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Results relating to Hirota method and singularity analysis on some nonlinear waves equations [PDF]
, 2012 This article investigates on the connection between singularity analysis and Hirota method i.e. a direct method to obtain the multi-soliton solutions of nonlinear waves equations.
Chia, Chee Pen, Abd. Aziz, Zainal
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Spatial self-bending soliton phenomenon of (2+1) dimensional bidirectional Sawada-Kotera equation
Results in Physics, 2023 In this study, we delve into the phenomenon of spatial self-bending solitons within the context of the (2+1)-dimensional bidirectional Sawada-Kotera equation.
Jing Wang, Biao Li
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
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Hints on the Hirota Bilinear Method
, 2007 We discuss four stages of the Hirota bilinear method, for construction of soliton solutions to partial differential equations: the proper substitution to express the equation in the bilinear variables (1), reduction of the excess degrees of freedom (2 ...
Goldstein, P.
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Results in Physics, 2021 This study aims to investigate the (2 + 1)-dimensional Kadomtsev-Petviashvili equation via the three-waves method through the Hirota bilinear form and the Kudryashov’s method.
Abdullahi Yusuf +4 more
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An Explicit Construction of Kaleidocycles by Elliptic Theta Functions
Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.ABSTRACT We study a configuration space consisting of ordered points on the two‐dimensional sphere satisfying a system of quadratic constraints. We construct explicit periodic orbits in the configuration space using elliptic theta functions. The constructed orbits simultaneously satisfy semi‐discrete analogues of the modified KdV and sine‐Gordon ...
Shizuo Kaji +2 more
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