Results 31 to 40 of about 9,346 (260)
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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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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Results in Physics, 2023 Numerous scientific fields depend on precise solutions, which can be obtained for nonlinear partial differential equations (PDEs) through various techniques. It is important to note that solutions obtained through different approaches can vary.
Saqib Khaliq +5 more
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Complexity, 2021 In this paper, a generalized (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation is considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton solution, breather solutions, and lump solutions, are obtained. Breathers
Hongcai Ma, Qiaoxin Cheng, Aiping Deng
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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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Results in Physics, 2022 In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen +5 more
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A Study on Lump Solutions to a Generalized Hirota-Satsuma-Ito Equation in (2+1)-Dimensions
Complexity, 2018 The Hirota-Satsuma-Ito equation in (2+1)-dimensions passes the three-soliton test. This paper aims to generalize this equation to a new one which still has abundant interesting solution structures.
Wen-Xiu Ma +2 more
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Discrete Dynamics in Nature and Society, 2022 In this article, a generalized (3 + 1)-dimensional nonlinear evolution equation (NLEE), which can be obtained by a multivariate polynomial, is investigated. Based on the Hirota bilinear method, the N-soliton solution and bilinear Bäcklund transformation (
Yali Shen, Ying Yang
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Partial Differential Equations in Applied Mathematics, 2021 We construct lump wave solution by using parametric limit approach from an interaction of double soliton solutions to the (2+1)-dimensional shallow water wave equation.
Fahad Sameer Alshammari +2 more
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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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