English

A coupled Volterra system and its exact solutions

Exactly Solvable and Integrable Systems 2007-11-06 v1 Pattern Formation and Solitons

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.

Keywords

Cite

@article{arxiv.0711.0420,
  title  = {A coupled Volterra system and its exact solutions},
  author = {S. Y. Lou and Bin Tong and Man Jia and Jin-hua Li},
  journal= {arXiv preprint arXiv:0711.0420},
  year   = {2007}
}

Comments

19 pages, 9 figures

R2 v1 2026-06-21T09:39:25.757Z