Original scientific paper
Solitary wave propagation in a slowly varying medium
Balliappadath V. Baby
; Department of Mathematics, Bharata Mata College, Cochin - 682 021 Kerala State, India
Abstract
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.
Keywords
Hrčak ID:
332047
URI
Publication date:
2.12.1991.
Visits: 435 *