Elliptic Waves in Two Component Long Wave--Short Wave Resonance Interaction System in One and Two dimensions

Khare, Avinash; Kanna, T.; Tamilselvan, K.

doi:10.1016/j.physleta.2014.09.006

arXiv 2014-09-04 DOI 10.1016/j.physleta.2014.09.006 0 مشاهدة

Elliptic Waves in Two Component Long Wave--Short Wave Resonance Interaction System in One and Two dimensions

Khare, Avinash · Kanna, T. · Tamilselvan, K.

Exactly Solvable and Integrable Systems Pattern Formation and Solitons

الأصل · EN

We consider (2+1) and (1+1) dimensional long-wave short-wave resonance interaction systems. We construct an extensive set of exact periodic solutions of these systems in terms of Lamé polynomials of order one and two. The periodic solutions are classified into three categories as similar, mixed, superposed elliptic solutions. We also discuss the hyperbolic solutions as limiting cases.

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