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Solitary wave propagation in a slowly varying medium

Balliappadath V. Baby ; Department of Mathematics, Bharata Mata College, Cochin - 682 021 Kerala State, India

Sažetak

The well-known perturbed Korteweg-de Vries equation, ut + 6uux + uxxx + f (t) u = 0 is studied in this paper. It is found that the travelling solitary wave solution is possible only when f (t) is an arbitrary constant. An exact solution of this system is found when it is integrable. The first three conservation laws and the recursion relation of the remaining are found. Using the recursion operator, the infinite sets of commuting as well as noncommuting symmetries of this equation are also studied in this paper.

Ključne riječi

Hrčak ID:

332047

URI

https://hrcak.srce.hr/332047

Datum izdavanja:

2.12.1991.

Podaci na drugim jezicima: hrvatski

Posjeta: 435 *