Results 21 to 30 of about 48,235 (213)
Cross soliton and breather soliton for the (3+1) $(3+1)$-dimensional Yu–Toda–Sasa–Fukuyama equation
Advances in Difference Equations, 2019 Cross-soliton solution, breather soliton, periodic solitary solution, and doubly periodic solution are obtained by using an extended homoclinic test approach with perturbation parameter u0 $u_{0}$ and complexity of parameters, respectively.
Zhiqiang Pu, Zhigang Pan
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Kink soliton behavior study for systems with power-law nonlinearity
Results in Physics, 2022 In this study, we investigate the kink soliton dynamics for power-law nonlinear systems. Based on the F-expansion method, we first derive the novel kink soliton solution of the nonlinear Schrödinger equation (NLSE) with third-order dispersion term, power-
Xiaoning Liu +4 more
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An Infinite Number of Static Soliton Solutions to 5D Einstein-Maxwell Equations [PDF]
, 2007 The soliton technique is applied to the 5D static Einstein-Maxwell equations, and an infinite number of solutions are explicitly obtained. We study the rod structure of 2-soliton solutions and we show that the 5D Reissner-Nordstrom solution and the 5D ...
Azuma, Takahiro, Koikawa, Takao
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1D solitons in cubic-quintic fractional nonlinear Schrödinger model
Scientific Reports, 2022 We examine the properties of a soliton solution of the fractional Schrö dinger equation with cubic-quintic nonlinearity. Using analytical (variational) and numerical arguments, we have shown that the substitution of the ordinary Laplacian in the ...
V. A. Stephanovich +3 more
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Interaction Solutions of the (2+1)-Dimensional Sawada-Kotera Equation
Advances in Mathematical Physics, 2023 The N-soliton solution of the (2+1)-dimensional Sawada-Kotera equation is given by using the Hirota bilinear method, and then, the conjugate parameter method and the long-wave limit method are used to get the breather solution and the lump solution, as ...
Yong Meng
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Kinetic equation for a dense soliton gas [PDF]
, 2005 We propose a general method to derive kinetic equations for dense soliton gases in physical systems described by integrable nonlinear wave equations.
A. M. Kamchatnov +7 more
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Scientific Reports, 2022 The coupled nonlinear Schrödinger (CNLS) equations are the important models for the study of the multicomponent Bose-Einstein condensates (BECs). In this paper, we study the four-components CNLS equations via Darboux transformation and obtain the N ...
Lu Wang, Li Li, Fajun Yu
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Constructing N-soliton solution for the mKdV equation through constrained flows [PDF]
, 2001 Based on the factorization of soliton equations into two commuting integrable x- and t-constrained flows, we derive N-soliton solutions for mKdV equation via its x- and t-constrained flows.
Ablowitz M +14 more
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Lump and Interaction solutions of a geophysical Korteweg–de Vries equation
Results in Physics, 2020 This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic ...
S.T.R. Rizvi +5 more
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Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise [PDF]
, 2008 We consider two exit problems for the Korteweg-de Vries equation perturbed by an additive white in time and colored in space noise of amplitude a. The initial datum gives rise to a soliton when a=0.
De Bouard, Anne, Gautier, Eric
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