English

Group classification of variable coefficient KdV-like equations

Exactly Solvable and Integrable Systems 2013-12-17 v3 Mathematical Physics math.MP

Abstract

The exhaustive group classification of the class of KdV-like equations with time-dependent coefficients ut+uux+g(t)uxxx+h(t)u=0u_t+uu_x+g(t)u_{xxx}+h(t)u=0 is carried out using equivalence based approach. A simple way for the construction of exact solutions of KdV-like equations using equivalence transformations is described.

Keywords

Cite

@article{arxiv.1204.4875,
  title  = {Group classification of variable coefficient KdV-like equations},
  author = {Olena Vaneeva},
  journal= {arXiv preprint arXiv:1204.4875},
  year   = {2013}
}

Comments

8 pages; minor misprints are corrected. arXiv admin note: substantial text overlap with arXiv:1104.1981

R2 v1 2026-06-21T20:53:06.706Z