Classification of all travelling-wave solutions for some nonlinear dispersive equations-Reference-Cited by-同舟云学术

Classification of all travelling-wave solutions for some nonlinear dispersive equations

Published:2007-03-14 Issue:1858 Volume:365 Page:2291-2298
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Lenells Jonatan¹

Affiliation:

1. Department of Mathematics, Lund UniversityPO Box 118, 22100 Lund, Sweden

Abstract

We present a method for the classification of all weak travelling-wave solutions for some dispersive nonlinear wave equations. When applied to the Camassa–Holm or the Degasperis–Procesi equation, the approach shows the existence of not only smooth, peaked and cusped travelling-wave solutions, but also more exotic solutions with fractal-like wave profiles.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2007.2009

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