A coupled Volterra system and its exact solutions

Details A coupled Volterra system and its exact solutions A coupled Volterra system and its exact solutions

2007-11-03

arxiv.org/abs/0711.0420v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages, 9 figures

Scientific paper

A coupled Volterra system is proposed. The model can be considered as one of the integrable discrete form of the coupled integrable KdV system which is a significant physical model. Many types of cnoidal waves, positons, negatons (solitons) and complexitons of the model are obtained by a simple rational expansion method of the Jacobi elliptic functions, trigonometric functions and hyperbolic functions.

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