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Numerical solution of soliton bag models
Physical Review D, 1985We develop a new, efficient, and accurate method of obtaining numerical solutions for soliton bag models. By introducing additional differential equations to describe the integral constraints and eigenvalue conditions, and after a careful analysis of the asymptotic form of the solutions, we convert the equations of the soliton bag model in the mean ...
, Dodd, , Lohe
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On soliton solutions for Boussinesq–Burgers equations
Communications in Nonlinear Science and Numerical Simulation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rady, A. S. Abdel, Khalfallah, Mohammed
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1-Soliton solution of KdV6 equation
Nonlinear Dynamics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirzazadeh, Mohammad +2 more
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Soliton solutions in Rowland ghost gaps
Physical Review E, 1995We present here a class of solitary wave solutions for nonlinear periodic Bragg gratings. The effect of periodic coefficients is to cause additional band gaps to open up. It is in these Rowland ghost gaps that solitary waves have been found.
, Broderick, , de Sterke CM, , Eggleton
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Soliton Solution of Good Boussinesq Equation
Vietnam Journal of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mixed lump–soliton solutions of the (3+1)-dimensional soliton equation
Applied Mathematics Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hengchun Hu
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Multiple Soliton Solutions of the Boussinesq Equation
Physica Scripta, 2005Summary: The Boussinesq equation can be considered as the first model for nonlinear dispersive wave prapagation. In the light of the principle of homogeneous balance and with the aid of some suitable transformations, the multiple soliton solutions of the Boussinesq equation are given.
Yu, Jun, Sun, Quanping, Zhang, Weijun
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Ward’s Solitons II: Exact Solutions
Canadian Journal of Mathematics, 1998AbstractIn a previous paper, we gave a correspondence between certain exact solutions to a (2 + 1)-dimensional integrable Chiral Model and holomorphic bundles on a compact surface. In this paper, we use algebraic geometry to derive a closed-form expression for those solutions and show by way of examples how the algebraic data which parametrise the ...
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Collisions between lump and soliton solutions
Applied Mathematics Letters, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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New Classes of Toda Soliton Solutions
Communications in Mathematical Physics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gesztesy, F., Renger, W.
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