Results 21 to 30 of about 3,184 (198)
Novel soliton solutions to a (2+1)-dimensional breaking soliton equation
Partial Differential Equations in Applied Mathematics, 2022 In this paper, a Hirota bilinear form is presented for a (2+1)-dimensional breaking soliton equation. Novel N-soliton solutions are constructed through an application of the Hiorta direct method.
Qi Chen, Xiao-ming Zhu, Jian-bing Zhang
doaj +1 more source
Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave
Advances in Mathematical Physics, 2021 In the current study, an analytical treatment is studied starting from the 2+1-dimensional generalized Hirota-Satsuma-Ito (HSI) equation. Based on the equation, we first establish the evolution equation and obtain rational function solutions by means of ...
Fan Yong-Yan +4 more
doaj +1 more source
The Method of Hirota Bilinearization
, 2023 Bilinearization of a given nonlinear partial differential equation is very important not only to find soliton solutions but also to obtain other solutions such as the complexitons, positons, negatons, and lump solutions. In this work we study the bilinearization of nonlinear partial differential equations in $(2+1)$-dimensions.
Gürses, Metin, Pekcan, Aslı
openaire +2 more sources
Vector shock soliton and the Hirota bilinear method [PDF]
Chaos, Solitons & Fractals, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pashaev, Oktay, Tanoğlu, Gamze
openaire +3 more sources
A study on soliton, lump solutions to a generalized (3+1)-dimensional Hirota--Satsuma--Ito equation
Open Physics, 2023 In this article, through the Hirota bilinear method and long wave limit method, based on the N-solitons, we construct the multiple lump solutions of the generalized (3+1)-dimensional Hirota–Satsuma–Ito equation.
Qi Feng-Hua +3 more
doaj +1 more source
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
doaj +1 more source
Exact solutions of the generalized (2+1)-dimensional shallow water wave equation
Results in Physics, 2022 In this paper, we construct abundant exact solutions of generalized (2+1)-dimensional shallow water wave equation via the Hirota bilinear method and test functions. We obtain exact interaction solutions, such as solitons, lump solutions and lump-periodic
Shan Yu, Lin Huang
doaj +1 more source
Spatial self-bending soliton phenomenon of (2+1) dimensional bidirectional Sawada-Kotera equation
Results in Physics, 2023 In this study, we delve into the phenomenon of spatial self-bending solitons within the context of the (2+1)-dimensional bidirectional Sawada-Kotera equation.
Jing Wang, Biao Li
doaj +1 more source
Degenerate Four Virtual Soliton Resonance for KP-II [PDF]
, 2004 By using disipative version of the second and the third members of AKNS hierarchy, a new method to solve 2+1 dimensional Kadomtsev-Petviashvili (KP-II) equation is proposed.
B. Konopelchenko +10 more
core +2 more sources
Exact Solution of (4+1)-Dimensional Boiti–Leon–Manna–Pempinelli Equation
Advances in Mathematical Physics, 2023 Based on the Hirota bilinear method, using the heuristic function method and mathematical symbolic computation system, various exact solutions of the (4+1)-dimensional Boiti–Leon–Manna–Pempinelli equation including the block kink wave solution, block ...
Qili Hao
doaj +1 more source