On the dynamics of rational solutions for 1-D generalized Volterra system

Details On the dynamics of rational solutions for 1-D generalized Volterra system On the dynamics of rational solutions for 1-D generalized Volterra system

1996-08-02

arxiv.org/abs/solv-int/9608001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, Latex

Scientific paper

10.1016/S0375-9601(97)00481-7

The Hirota bilinear formalism and soliton solutions for a generalized Volterra system is presented. Also, starting from the soliton solutions, we obtain a class of nonsingular rational solutions using the "long wave" limit procedure of Ablowitz and Satsuma, and appropriate "gauge" transformations. Their properties are also discussed and it is shown that these solutions interact elastically with no phase shift.

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