The double cnoidal wave of the Korteweg–de Vries equation: An overview

DOI10.1063/1.526109zbMath0558.35065OpenAlexW2091555406MaRDI QIDQ3223274

John P. Boyd

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526109

zbMATH Keywords

solitary wavesKorteweg-de Vries equationcollision phase shiftsdouble cnoidal waveparameter regimes

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Torus knots and polynomial invariants for a class of soliton equations, Miracles, misconceptions and scotomas in the theory of solitary waves, Qualitative analysis and calculations of finite-gap solutions of the Korteweg-de Vries equation. Automorphic approach, Construction of Lighthill's unitary functions: The imbricate series of unity, Perturbation series for the double cnoidal wave of the Korteweg–de Vries equation, Exact and approximate nonlinear waves generated by the periodic superposition of solitons, Numerical solutions of the Korteweg-de Vries equation using the periodic scattering transform \(\mu\)-representation, Qualitative analysis of finite-gap solutions of the KdV equation by the automorphic approach, Microbreaking and polycnoidal waves in the Ostrovsky-Hunter equation, Solitons, cnoidal waves and nonlinear interactions in shallow-water ocean surface waves, Optimal truncations for multivariate Fourier and Chebyshev series: mysteries of the hyperbolic cross. I: bivariate case, Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift, Soliton Creation and Destruction, Resonant Interactions, and Inelastic Collisions in Shallow Water Waves, Double cnoidal waves of the Korteweg-de Vries equation: A boundary value approach

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