Results 11 to 20 of about 394 (186)
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
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
Results in Physics, 2022 The (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani (KdVSKR) equation is proposed by extending one dimension of the (1+1)-dimensional KdVSKR equation.
Chen Zhu +5 more
doaj +1 more source
Results in Physics, 2021 This study aims to investigate the (2 + 1)-dimensional Kadomtsev-Petviashvili equation via the three-waves method through the Hirota bilinear form and the Kudryashov’s method.
Abdullahi Yusuf +4 more
doaj +1 more source
Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method [PDF]
Theoretical and Mathematical Physics, 2007 15 pages, 1 figure, talk presented in Workshop `Nonlinear Physics IV: Theory and Experiment`, 22-30 June 2006, Gallipoli ...
Lee, Jyh Hao, Pashaev, Oktay
openaire +3 more sources