Results 51 to 60 of about 49,111 (193)
The new soliton solutions for long and short-wave interaction system
Journal of Ocean Engineering and Science, 2022 The goal of this paper is to discover modern soliton solutions to long and short-wave interaction system by procedures called extended rational sine-cosine and rational sinh-cosh methods.
Sayyed Masood Zekavatmand +4 more
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On the soliton dynamics under a slowly varying medium for generalized KdV equations
, 2009 We consider the problem of the soliton propagation, in a slowly varying medium, for a generalized Korteweg - de Vries equations (gKdV). We study the effects of inhomogeneities on the dynamics of a standard soliton.
Muñoz, Claudio
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Results in Physics, 2023 This article studies the optical soliton solutions of the coupled fractional Lakshmanan–Porsezian–Daniel equations with kerr’s law nonlinearity based on the complete discriminant system of cubic polynomials. By means of traveling wave transformation, the
Da Shi, Chunyan Liu, Zhao Li
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Special Solutions of Bi-Riccati Delay-Differential Equations
, 2018 Delay-differential equations are functional differential equations that involve shifts and derivatives with respect to a single independent variable. Some integrability candidates in this class have been identified by various means.
Berntson, Bjorn K.
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Open Physics, 2020 The Sinh–Poisson equation and the RLC transmission line equation are important nonlinear model equations in the field of engineering and power transmission. The modified simple equation (MSE) procedure is a realistic, competent and efficient mathematical
Abdul Kayum Md. +3 more
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Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method
Results in Physics, 2021 In this work, the analytic solutions for different types of nonlinear partial differential equations are obtained using the multiple Exp-function method.
Kottakkaran Sooppy Nisar +5 more
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Bilinearization of Discrete Soliton Equations and Singularity Confinement
, 1996 Bilinear forms for some nonlinear partial difference equations(discrete soliton equations) are derived based on the results of singularity confinement.
Grammaticos +14 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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, 2009 We analyze a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces and their reductions. We briefly outline the direct and the inverse scattering method for the relevant Lax operators and the ...
Gerdjikov, V. S. +2 more
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Generalised Fourier Transform and Perturbations to Soliton Equations [PDF]
, 2009 A brief survey of the theory of soliton perturbations is presented. The focus is on the usefulness of the so-called Generalised Fourier Transform (GFT).
Grahovski, Georgi G., Ivanov, Rossen I.
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