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Numerical solution of KdV–KdV systems of Boussinesq equations

Mathematics and Computers in Simulation, 2007
Considered here is a Boussinesq system of equations from surface water wave theory. The particular system is one of a class of equations derived and analyzed in recent studies. After a brief review of theoretical aspects of this system, attention is turned to numerical methods for the approximation of its solutions with appropriate initial and boundary
J.L. Bona   +2 more
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Multiple bifurcation solitons, lumps and rogue waves solutions of a generalized perturbed KdV equation

Nonlinear dynamics, 2022
A. Khan   +4 more
semanticscholar   +1 more source

Implementation of the Exp-function approach for the solution of KdV equation with dual power law nonlinearity

Computational and Applied Mathematics, 2022
Naila Sajid   +6 more
semanticscholar   +1 more source

Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation

Journal of Physics A: Mathematical and General, 1995
Summary: A series of rational solutions are presented for a differential-difference analogue of the KdV equation, the Toda equation and the discrete KdV equation. These rational solutions are obtained using Hirota's bilinear formalism and Bäcklund transformations. The crucial step is the use of nonlinear superposition formulae.
Hu, Xing-Biao, Clarkson, Peter A.
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Asymptotic attractors of KdV–KSV equations

SeMA Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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N-soliton solutions for the combined KdV–CDG equation and the KdV–Lax equation

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic lower bound for the radius of spatial analyticity to solutions of KdV equation

Communications in Contemporary Mathematics, 2017
It is shown that the uniform radius of spatial analyticity [Formula: see text] of solutions at time [Formula: see text] to the KdV equation cannot decay faster than [Formula: see text] as [Formula: see text] given initial data that is analytic with fixed
Achenef Tesfahun
semanticscholar   +1 more source

On a forced modified KdV equation

Physics Letters A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On traveling wave solutions to combined KdV–mKdV equation and modified Burgers–KdV equation

Communications in Nonlinear Science and Numerical Simulation, 2009
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