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First integrals of the equations ofnon-linear wave dynamics

✍ Scribed by N.A. Kudryashov

Book ID
104020341
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
519 KB
Volume
69
Category
Article
ISSN
0021-8928

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✦ Synopsis

An algorithm for finding the first integrals of fourth-order non-linear differential equations, encountered when describing nonlinear wave processes, is proposed. The use of the method is illustrated by a number of examples. The first integrals obtained are employed to construct a solution of the generalized fifth-order Korteweg-de Vries equation in travelling-wave variables, which is expressed in terms of hyperelliptic integrals.

πŸ“œ SIMILAR VOLUMES

Dynamics of non-linear wave equations
Dynamics of non-linear wave equations
✍ Grozdena Todorova πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 118 KB

## Abstract We present several stability/instability results for the ground‐state standing waves and high‐energy‐bound‐state standing waves for the NLKG, NLS and NLDW equations. At the end of the paper we present a number of open problems. Copyright Β© 2004 John Wiley & Sons, Ltd.