Numerical solution of complex modified Korteweg-de Vries equation by collocation method
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Publication:716600
DOI10.1016/j.cnsns.2007.12.005zbMath1221.65262OpenAlexW1997555628MaRDI QIDQ716600
Publication date: 30 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.12.005
KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (16)
Conservative finite volume element schemes for the complex modified Korteweg-de Vries equation ⋮ Dynamics of solitons in plasmas for the complex KdV equation with power law nonlinearity ⋮ Solitary wave solutions for a coupled pair of mKdV equations ⋮ 1-soliton solution of the complex KdV equation in plasmas with power law nonlinearity and time-dependent coefficients ⋮ Numerical solutions and stability analysis for solitary waves of complex modified Korteweg–de Vries equation using Chebyshev pseudospectral methods ⋮ Reprint of ``Nonlinear vector waves of a flexural mode in a chain model of atomic particles ⋮ Exact solution of a KdV equation with variable coefficients ⋮ A fourth order finite difference method for the good Boussinesq equation ⋮ Solitary wave and shock wave solutions to a second order wave equation of Korteweg-de Vries type ⋮ 1-soliton solution of the generalized KdV equation with generalized evolution ⋮ Numerical solution of complex modified Korteweg-de Vries equation by mesh-free collocation method ⋮ Numerical studies on a novel split-step quadratic B-spline finite element method for the coupled Schrödinger-KdV equations ⋮ Nonlinear vector waves of a flexural mode in a chain model of atomic particles ⋮ A simple and robust boundary treatment for the forced Korteweg-de Vries equation ⋮ LINEARLY IMPLICIT ENERGY-PRESERVING FOURIER PSEUDOSPECTRAL SCHEMES FOR THE COMPLEX MODIFIED KORTEWEG–DE VRIES EQUATION ⋮ Multisymplectic box schemes for the complex modified Korteweg–de Vries equation
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