A coupled Volterra system and its exact solutions
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2007
- DOI:
- 10.48550/arXiv.0711.0420
- arXiv:
- arXiv:0711.0420
- Bibcode:
- 2007arXiv0711.0420L
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Nonlinear Sciences - Pattern Formation and Solitons
- E-Print:
- 19 pages, 9 figures