Results 41 to 50 of about 9,899 (289)
Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation
, 2021 The Painlevé integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable ...
Bo Ren
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Interaction Solutions of the (2+1)-Dimensional Sawada-Kotera Equation
Advances in Mathematical Physics, 2023 The N-soliton solution of the (2+1)-dimensional Sawada-Kotera equation is given by using the Hirota bilinear method, and then, the conjugate parameter method and the long-wave limit method are used to get the breather solution and the lump solution, as ...
Yong Meng
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Comments on lump solutions in SFT [PDF]
The European Physical Journal C, 2016 We analyze a recently proposed scheme to construct analytic lump solutions in open SFT. We argue that in order for the scheme to be operative and guarantee background independence it must be implemented in the same 2D conformal field theory in which SFT is formulated. We outline and discuss two different possible approaches. Next we reconsider an older
Bonora, Loriano, Tolla, Driba D.
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Interaction solution to the (3+1)-D negative-order KdV first structure
Partial Differential Equations in Applied Mathematics, 2023 We derive N-solitons and interaction solution for the (3+1)-D negative-order KdV first structure that arises in shallow-water waves. We use the bilinear scheme and the simplified Hirota technique for this solution. From the multiple solitons solution, we
Mohammad Safi Ullah
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Heliyon, 2021 The present study investigates the lump, one-stripe, lump-stripe, and breather wave solutions to the (2+1)-dimensional Sawada-Kotera equation using the Hirota bilinear method.
Md. Emran Ali +4 more
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Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation [PDF]
Open Physics, 2021 Abstract 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. By choosing the function f in Hirota bilinear form, as the general quadratic function,
Seadawy Aly R. +4 more
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, 2021 Under investigation in this paper is the generalized (2+1)-dimensional Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation. Based on the bilinear Hirota method, the M-lump solution and N-soliton solution are constructed by giving some special activation ...
Zhou, Xuejun +4 more
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Mixed lump–kink solutions to the KP equation
Computers & Mathematics with Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai-Qiong Zhao, Wen-Xiu Ma
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Lump Solutions for PDE's: Algorithmic Construction and Classification [PDF]
Journal of Nonlinear Mathematical Physics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Estévez, P. G., Prada, J.
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Degenerate lump chain solutions of (4+1)-dimensional Fokas equation
Results in Physics, 2023 This paper takes (4+1)-dimensional Fokas equation as an example to introduce an ingenious limit approach to generate degenerate solutions in detail. Under this technique, we start with solutions describing lump chains and obtain degenerate solutions from
Jiaojiao Wu, Yujie Sun, Biao Li
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