Analytical and numerical studies of the variable-coefficient Gardner equation

DOI10.1016/S0096-3003(03)00569-1zbMath1288.35423OpenAlexW1992315702MaRDI QIDQ1826793

Yanyan Li

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00569-1

zbMATH Keywords

perturbation methodsolitonsnumerical simulationextended Korteweg-de Vries equationGardner equationinternal waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Shear flows and turbulence (76F10) Finite element methods applied to problems in fluid mechanics (76M10) Soliton equations (35Q51)

Related Items

High accuracy numerical methods for the Gardner-Ostrovsky equation ⋮ Conservative difference schemes for the numerical solution of the Gardner equation ⋮ Adiabatic decay of internal solitons due to Earth's rotation within the framework of the Gardner–Ostrovsky equation ⋮ Exact solutions of the generalized ZK and Gardner equations by extended generalized \((G^\prime/G)\)-expansion method ⋮ Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics ⋮ Study of the Gardner equation with homogeneous boundary conditions via fourth order modified cubic B-Spline collocation method ⋮ Nonlocal symmetries and explicit solutions for the Gardner equation ⋮ Nonlinear Wave Equations for Oceanic Internal Solitary Waves ⋮ Cylindrical divergence of solitary internal waves in the context of the generalized Gardner equation ⋮ Exponential B-spline collocation solutions to the Gardner equation

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