Conservation Laws, Hamiltonian Structure, Modulational Instability Properties and Solitary Wave Solutions for a Higher-Order Model Describing Nonlinear Internal Waves

DOI10.1111/j.1467-9590.2011.00533.xzbMath1382.76039OpenAlexW2139003367MaRDI QIDQ2893199

H. V. Dosser, B. R. Sutherland, Gordon E. Swaters

Publication date: 26 June 2012

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2011.00533.x

zbMATH Keywords

nonlinear Schrödinger equationstratified fluidStokes waveSasa-Satsuma equation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55) Soliton equations (35Q51) Stratification effects in inviscid fluids (76B70)

Related Items (2)

Perturbation Theory for the Solitary Wave Solutions to a Sasa-Satsuma Model Describing Nonlinear Internal Waves in a Continuously Stratified Fluid ⋮ Numerical simulation of the soliton solutions for a complex modified Korteweg–de Vries equation by a finite difference method

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