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Lump Solutions, Multi Lump Solutions and More Soliton Solutions of a Novel (2+1)-dimensional Nonlinear Evolution Equation [PDF]
, 2021 Abstract Exact solutions of a new (2+1)-dimensional nonlinear evolution equation are studied. Through the Hirota bilinear method, the test function method and the improved tanh-coth and tah-cot method, with the assisstance of symbolic operations, one can obtain the lump solutions, multi lump solutions and more soliton solutions.
Hongcai Ma +3 more
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Results in Physics, 2020 Based on symbolic computation and Hirota bilinear form, a class of lump solutions for the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation is given. As a result, the lump solution shows a new perspective to knowledge them. Meanwhile,
Ping Cui
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Multiple lump solutions of the (2+1)-dimensional sawada-kotera-like equation
Frontiers in Physics, 2022 In this paper, 1-lump solution and 2-lump solution of a (2 + 1)-dimensional Sawada-Kotera-like equation are obtained by means of the Hirota’s bilinear method and long wave limit method.
Feng-Hua Qi +3 more
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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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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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