English

A Symmetric Generalization of Linear B\"acklund Transformation associated with the Hirota Bilinear Difference Equation

solv-int 2015-06-26 v1 Exactly Solvable and Integrable Systems

Abstract

The Hirota bilinear difference equation is generalized to discrete space of arbitrary dimension. Solutions to the nonlinear difference equations can be obtained via B\"acklund transformation of the corresponding linear problems.

Keywords

Cite

@article{arxiv.solv-int/9801002,
  title  = {A Symmetric Generalization of Linear B\"acklund Transformation associated with the Hirota Bilinear Difference Equation},
  author = {Nobuhiko Shinzawa and Satoru Saito},
  journal= {arXiv preprint arXiv:solv-int/9801002},
  year   = {2015}
}

Comments

Latex, 12 pages, 1 figure