English

Non-Linear Evolution Equations with Non-Analytic Dispersion Relations in 2+1 Dimensions. Bilocal Approach

solv-int 2009-10-28 v1 Pattern Formation and Solitons Exactly Solvable and Integrable Systems patt-sol

Abstract

A method is proposed of obtaining (2+1)-dimensional non- linear equations with non-analytic dispersion relations. Bilocal formalism is shown to make it possible to represent these equations in a form close to that for their counterparts in 1+1 dimensions.

Keywords

Cite

@article{arxiv.solv-int/9404005,
  title  = {Non-Linear Evolution Equations with Non-Analytic Dispersion Relations in 2+1 Dimensions. Bilocal Approach},
  author = {Evgeny V. Doktorov},
  journal= {arXiv preprint arXiv:solv-int/9404005},
  year   = {2009}
}

Comments

13 pages, to be published in J. Phys. A

R2 v1 2026-07-22T20:07:49.601Z