Exact and approximate nonlinear waves generated by the periodic superposition of solitons

DOI10.1007/BF00945815zbMath0698.76023MaRDI QIDQ912707

John P. Boyd

Publication date: 1989

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

solitonselliptic functionsmeromorphic functionscnoidal wavesapproximation to the hypercnoidal waveexact nonlinear, spatially periodic solutionsquartic Korteweg-de Vries equationToda theorem

Mathematics Subject Classification ID

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

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Cites Work

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• Spectral methods using rational basis functions on an infinite interval
• The double cnoidal wave of the Korteweg–de Vries equation: An overview
• Comments on Periodic Waves and Solitons
• Solitary-wave interaction
• Cnoidal Waves as Exact Sums of Repeated Solitary Waves: New Series for Elliptic Functions