Solitary wave transformation in a medium with sign-variable quadratic nonlinearity and cubic nonlinearity

DOI10.1016/S0167-2789(99)00045-7zbMath0933.35169WikidataQ127293936 ScholiaQ127293936MaRDI QIDQ1809207

Efim Pelinovsky, Tatiana Talipova, R. H. J. Grimshaw

Publication date: 29 March 2000

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

small-amplitude solitary wavesinternal waves in stratified oceanlarge-amplitude solitary wavesvariable-coefficient extended Korteweg-de Vries equation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) KdV equations (Korteweg-de Vries equations) (35Q53) Internal waves for incompressible inviscid fluids (76B55)

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Cites Work

• Unnamed Item
• Structural transformation of eigenvalues for a perturbed algebraic soliton potential.
• The Modified Korteweg-de Vries Equation
• The extended Korteweg-de Vries equation and the resonant flow of a fluid over topography
• On interfacial solitary waves over slowly varying topography
• Perturbations of Solitons and Solitary Waves
• Experimental study of interfacial solitary waves
• Slowly Varying Solitary Wave Solutions of the Perturbed Korteweg‐de Vries Equation Revisited
• Asymptotic Integrability of Water Waves
• A second-order theory for solitary waves in shallow fluids
• Solitary Wave Transformation Due to a Change in Polarity

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