Results 11 to 20 of about 468 (168)
Linear Subspaces of Solutions Applied to Hirota Bilinear Equations [PDF]
Aceh International Journal of Science and Technology, 2012 - Linear subspace of solution is applied to Boussinesq and Kadomtseve-Petviashvili (KP) equations using Hirota bilinear transformation. A sufficient and necessary condition for the existence of linear subspaces of exponential travelling wave solutions to
M. Y. Adamu, E. Suleiman
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Bilinear form of the regularized long wave equation and its multi-soliton solutions
Partial Differential Equations in Applied Mathematics, 2022 We consider utmost significant model, namely, the regularized long-wave equation involving dispersion and weedy nonlinearity effects that arises in the nonlinear dynamics of phonon packets in crystals, shallow water, plasma and ion acoustic waves.
Mohammad Mobarak Hossain +2 more
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Construction of lump soliton and mixed lump stripe solutions of (3+1)-dimensional soliton equation
Results in Physics, 2018 In this letter, we apply two different ansatzs for constructing the lump soliton and mixed lump strip solutions of (3+1)-dimensional soliton equation, which is associating with the Hirota bilinear form.
Jiangen Liu, Yufeng Zhang
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Mathematics, 2020 In this paper, we investigate the (2 + 1)-dimensional Hirota–Satsuma–Ito (HSI) shallow water wave model. By introducing a small perturbation parameter ϵ, an extended (2 + 1)-dimensional HSI equation is derived.
Yuefeng Zhou +2 more
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Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation [PDF]
Abstract and Applied Analysis, 2014 We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials ...
Huanhe Dong +3 more
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Unification of integrable q-difference equations
Electronic Journal of Differential Equations, 2015 This article presents a unifying framework for q-discrete equations. We introduce a generalized q-difference equation in Hirota bilinear form and develop the associated three-q-soliton solutions which are described in polynomials of power functions ...
Burcu Silindir, Duygu Soyoglu
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Construction of complexiton-type solutions using bilinear form of Hirota-type
, 2022 In this paper, based on the Hirota bilinear form and the extended transformed rational function method, complexiton solutions have been found of the Hirota–Satsuma–Ito (HSI) equation and generalized Calogero–Bogoyavlenskii–Schiff equation through a ...
Kaplan, Melike, Raza, Nauman
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Soliton solutions by means of Hirota bilinear forms
Partial Differential Equations in Applied Mathematics, 2022 The paper aims to provide a brief overview of soliton solutions obtained through the Hirota direct method. A bilinear formulation of soliton solutions in both (1+1)-dimensions and (2+1)-dimensions is discussed, together with applications to various ...
Wen-Xiu Ma
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Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation
Open Physics, 2021 The aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field.
Seadawy Aly R. +4 more
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Multiple rogue wave and multiple lump solutions of a (3+1)-dimensional Korteweg-de Vries equation
上海师范大学学报. 自然科学版, 2021 Based on the Hirota bilinear form, we obtained the multiple rogue wave and multiple lump solutions of a new (3+1)-dimensional Korteweg-de Vries (KdV) equation.
TIAN Hongfei, SUN Yanfang, ZHANG Huiqun
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