Results 41 to 50 of about 4,934 (255)

Mixed Lump-Stripe Soliton Solutions to a New Extended Jimbo-Miwa Equation

Advances in Mathematical Physics, 2023
In this paper, the localized properties of lump and interaction solutions to a new extended Jimbo-Miwa (EJM) equation are studied. Based on the Hirota bilinear method and the test function method, the exact solutions of the EJM equation are discussed ...
Yinghui He
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Lumps with their some interactions and breathers to an integrable (2 + 1)-dimensional Boussinesq equation in shallow water

Results in Physics, 2022
In this paper, the lumps with their interactions (lump-single and lump-double stripes), and breather wave solutions are constructed to the new integrable (2 + 1)-dimensional Boussinesq equation via the Hirota bilinear method.
Md. Nuruzzaman, Dipankar Kumar
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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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Erratum: the energy of the analytic lump solution in SFT [PDF]

Journal of High Energy Physics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bonora, L., Giaccari, S., Tolla, D. D.
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Lump Solutions and Resonance Stripe Solitons to the (2+1)-Dimensional Sawada-Kotera Equation

Advances in Mathematical Physics, 2017
Based on the symbolic computation, a class of lump solutions to the (2+1)-dimensional Sawada-Kotera (2DSK) equation is obtained through making use of its Hirota bilinear form and one positive quadratic function.
Xian Li, Yao Wang, Meidan Chen, Biao Li
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Lump solutions to an integrable (3 + 1)-dimensional Boussinesq equation and its dimensionally reduced equations in shallow water

Results in Physics, 2023
This study uses the Hirota bilinear method and Maple, a symbolic computation program, to derive lump solutions for a new integrable (3 + 1)-dimensional Boussinesq equation and its dimensionally reduced equations.
Shao-Wen Yao, Md Nuruzzaman, Dipankar Kumar, Nishat Tamanna, Mustafa Inc   +4 more
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Lump Solutions and Interaction Solutions for the Dimensionally Reduced Nonlinear Evolution Equation [PDF]

Complexity, 2019
In this paper, by means of the Hirota bilinear method, a dimensionally reduced nonlinear evolution equation is investigated. Through its bilinear form, lump solutions are obtained. We construct interaction solutions between lump solutions and one soliton solution by choosing quadratic functions and exponential function.
Baoyong Guo, Huanhe Dong, Yong Fang 0004
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Evolution of lump solutions for the KP equation [PDF]

Wave Motion, 1996
Abstract The two (space)-dimensional generalisation of the Korteweg-de Vries (KdV) equation is the Kadomtsev-Petviashvili (KP) equation. This equation possesses two solitary wave type solutions. One is independent of the direction orthogonal to the direction of propagation and is the soliton solution of the KdV equation extended to two space ...
Minzoni, A. A., Smyth, N. F.
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A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation

Complexity, 2019
Based on bilinear formulation of a (3 + 1)-dimensional soliton equation, lump solution and related interaction solutions are investigated. The lump solutions of the soliton equation are classified into three cases with nonsingularity conditions being ...
Xi-zhong Liu, Zhi-Mei Lou, Xian-Min Qian, Lamine Thiam   +3 more
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