A dual-Petrov-Galerkin method for extended fifth-order Korteweg-de Vries type equations

zbMath1187.35214MaRDI QIDQ2380929

Jiahong Wu, Ramjee Sharma, Juan-Ming Yuan, Netra Khanal

Publication date: 12 April 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

solitary wavefifth-order KdV equationKaup-Kupershmidt equationSawada-Kotera equationLax equationspectral approximationdual-Petrov-Galerkin method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Soliton solutions (35C08)

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A novel convenient finite difference method for shallow water waves derived by fifth‐order Kortweg and De‐Vries‐type equation ⋮ Efficient spectral-Petrov-Galerkin methods for the integrated forms of third- and fifth-order elliptic differential equations using general parameters generalized Jacobi polynomials ⋮ Symmetry analysis and conservation laws of the time fractional Kaup-Kupershmidt equation from capillary gravity waves ⋮ A 4-point block method for solving higher order ordinary differential equations directly

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