Perturbation Theory for the Solitary Wave Solutions to a Sasa-Satsuma Model Describing Nonlinear Internal Waves in a Continuously Stratified Fluid

DOI10.1111/j.1467-9590.2011.00542.xzbMath1256.35123OpenAlexW1544086995MaRDI QIDQ2905698

Gordon E. Swaters

Publication date: 28 August 2012

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

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2011.00542.x

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Cites Work

• Weakly nonlinear non-Boussinesq internal gravity wavepackets
• Classification of certain integrable coupled potential KdV and modified KdV-type equations
• Conservation Laws, Hamiltonian Structure, Modulational Instability Properties and Solitary Wave Solutions for a Higher-Order Model Describing Nonlinear Internal Waves
• Slowly varying solitary waves. I. Korteweg-de Vries equation
• Slowly varying solitary waves. II. Nonlinear Schrödinger equation
• Weakly nonlinear internal gravity wavepackets
• Sasa-Satsuma (complex modified Korteweg–de Vries II) and the complex sine-Gordon II equation revisited: Recursion operators, nonlocal symmetries, and more
• Long-time Solutions of the Ostrovsky Equation
• Shelves and the Korteweg-de Vries equation
• On the ‘wave momentum’ myth
• Perturbations of Solitons and Solitary Waves
• An exact solution for a derivative nonlinear Schrödinger equation

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