Conservative compact difference scheme for the generalized Korteweg-de Vries equation

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

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New solitary solutions and a conservative numerical method for the Rosenau-Kawahara equation with power law nonlinearity
Exact solitary solution and a three-level linearly implicit conservative finite difference method for the generalized Rosenau-Kawahara-RLW equation with generalized Novikov type perturbation
A new approach for numerical solution of modified Korteweg-de Vries equation
A fully conservative second-order finite difference scheme for incompressible flow on nonuniform grids
A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation
A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation
Solitary-wave solutions of the GRLW equation using septic B-spline collocation method
Variants of the generalized KdV equation with compact and noncompact structures
Solitary wave solutions for the general KdV equation by Adomian decomposition method
Compact structure-preserving approach to solitary wave in shallow water modeled by the Rosenau-RLW equation
A high-order linearized difference scheme preserving dissipation property for the 2D Benjamin-Bona-Mahony-Burgers equation
Solitary wave solution and a linear mass-conservative difference scheme for the generalized Korteweg-de Vries-Kawahara equation
Numerical analysis of a high-order accurate compact finite difference scheme for the SRLW equation
Performance of compact and non-compact structure preserving algorithms to traveling wave solutions modeled by the Kawahara equation
A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing
On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities
A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D
New conservative difference schemes with fourth‐order accuracy for some model equation for nonlinear dispersive waves
New exact solutions and numerical approximations of the generalized KdV equation
Uniform error estimates of fourth-order conservative linearized difference scheme for a mathematical model for long wave

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