Four-wave interaction equations: Hamiltonian formulation, conservation laws and the Hirota method

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Erbay H., Erbay S.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.29, no.1, pp.77-85, 1996 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 29 Issue: 1
• Publication Date: 1996
• Doi Number: 10.1088/0305-4470/29/1/010
• Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.77-85
• Istanbul Technical University Affiliated: No

Abstract

Some of the analytical properties of the four-wave interaction equations derived previously by the present authors are studied. The equations are shown to be Hamiltonian and to have, al least, four conserved densities. Solitary wave solutions of the equations are also considered by means of a modified Hirota method.