Results 31 to 40 of about 51,663 (217)
Results in Physics, 2021 Based on the N-soliton solutions, the resonant line wave soliton and interaction solutions are derived through some constraints in the (2+1)-dimensional nonlinear wave equation. General resonant line wave soliton solutions are firstly presented and their
Qingqing Chen +3 more
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Advances in Mathematical Physics, 2016 The exact rational solutions, quasi-periodic wave solutions, and N-soliton solutions of 3 + 1 dimensional Jimbo-Miwa equation are acquired, respectively, by using the Hirota method, whereafter the rational solutions are also called algebraic solitary ...
Hongwei Yang +4 more
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Construction of lump soliton and mixed lump stripe solutions of (3+1)-dimensional soliton equation
Results in Physics, 2018 In this letter, we apply two different ansatzs for constructing the lump soliton and mixed lump strip solutions of (3+1)-dimensional soliton equation, which is associating with the Hirota bilinear form.
Jiangen Liu, Yufeng Zhang
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Results in Physics, 2023 This study focuses on investigating the optical soliton solutions for the perturbed nonlinear Schrödinger equation involving Kerr nonlinearity. It should be noted that the non-integrable nature of the nonlinear Schrödinger equation becomes apparent when ...
Chaoyang Zhu +3 more
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Duke Mathematical Journal, 1992 The authors consider the \(N\)-soliton solution to the Korteweg-de Vries equation in the limit \(N \to \infty\) by careful investigation of the spectral and scattering properties of the Schrödinger operator associated to the KdV equation by the inverse scattering transform.
Gesztesy, F., Karwowski, W., Zhao, Z.
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Complexity, 2020 In this paper, a new generalized semidiscrete integrable system with time-varying coefficients is analytically studied. Firstly, the generalized semidiscrete system is derived from a semidiscrete matrix spectral problem by embedding finite time-varying ...
Sheng Zhang, Sen Zhao, Bo Xu
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On Solutions of an Extended Nonlocal Nonlinear Schrödinger Equation in Plasmas
Mathematics, 2020 The parity-time symmetric nonlocal nonlinear Schrödinger equation with self-consistent sources (PTNNLSESCS) is used to describe the interaction between an high-frequency electrostatic wave and an ion-acoustic wave in plasmas.
Yehui Huang +4 more
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A dressing method for soliton solutions of the Camassa-Holm equation [PDF]
, 2017 The soliton solutions of the Camassa-Holm equation are derived by the implementation of the dressing method. The form of the one and two soliton solutions coincides with the form obtained by other methods.Comment: 18 pages, 2 ...
Ivanov, Rossen, Lyons, Tony, Orr, Nigel
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Multi loop soliton solutions and their interactions in the Degasperis-Procesi equation
, 2012 In this article, we construct loop soliton solutions and mixed soliton - loop soliton solution for the Degasperis-Procesi equation. To explore these solutions we adopt the procedure given by Matsuno.
Constantin A +13 more
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Perturbative analysis of generally nonlocal spatial optical solitons [PDF]
, 2006 In analogy to a perturbed harmonic oscillator, we calculate the fundamental and some other higher order soliton solutions of the nonlocal nonlinear Schroedinger equation (NNLSE) in the second approximation in the generally nonlocal case.
G. P. Agrawal +4 more
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