Results 21 to 30 of about 47,209 (207)
HIROTA METHOD AND SOLITON SOLUTIONS
Middle East Journal of Science, 2022 Solitons are an important class of solutions to nonlinear differential equations which appear in different areas of physics and applied mathematics. In this study we provide a general overview of the Hirota method which is one of the most powerful tool in finding the multi-soliton solutions of nonlinear wave and evaluation equations.
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Novel soliton solutions to a (2+1)-dimensional breaking soliton equation
Partial Differential Equations in Applied Mathematics, 2022 In this paper, a Hirota bilinear form is presented for a (2+1)-dimensional breaking soliton equation. Novel N-soliton solutions are constructed through an application of the Hiorta direct method.
Qi Chen, Xiao-ming Zhu, Jian-bing Zhang
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Backlund transformation and special solutions for Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations [PDF]
, 2001 Using the Weiss method of truncated singular expansions, we construct an explicit Backlund transformation of the Drinfeld-Sokolov-Satsuma-Hirota system into itself.
Ablowitz M J +8 more
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Open Physics, 2021 In this article, a generalized Hirota–Satsuma coupled Korteweg–de Vries (KdV) system is investigated from the group standpoint. This system represents an interplay of long waves with distinct dispersion correlations.
Khalique Chaudry Masood
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Axioms, 2022 We address here the space-fractional stochastic Hirota–Maccari system (SFSHMs) derived by the multiplicative Brownian motion in the Stratonovich sense. To acquire innovative elliptic, trigonometric and rational stochastic fractional solutions, we employ ...
Farah M. Al-Askar +3 more
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Phase portraits and new exact traveling wave solutions of the (2+1)-dimensional Hirota system
Results in Physics, 2023 In this paper, we investigate the (2+1)-dimensional Hirota system of equations, which is essential for modeling physical events since it contains the NLS equation and the cmKdV equation. We apply the Jacobi elliptic function method to obtain new results.
Gaukhar Shaikhova +2 more
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Journal of Ocean Engineering and Science, 2019 In this paper, the (G′/G)-expansion method has been applied to explore new solitary wave solutions for the time fractional generalized Hirota-Satsuma coupled KdV (FGHSC KdV) system.
Hadi Rezazadeh +3 more
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New exact travelling solutions of the generalized Hirota equation
Partial Differential Equations in Applied Mathematics, 2021 In this paper, we solve the generalized Hirota equation with an external potential by means of the new Jacobi elliptic function rational expansion method and the exponential rational function method.
Yaning Tang, Zaijun Liang, Meiling Zhou
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On soliton solutions of the Wu-Zhang system
Open Physics, 2016 In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.
Inc Mustafa +5 more
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Journal of Ocean Engineering and Science, 2022 The current study deals with exact soliton solutions for Schrödinger-Hirota (SH) equation via two modified integration methods. Those methods are known as the improved (G′/G)-expansion method and the Kudryashov method. This model is a generalized version
Asim Zafar +5 more
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