English

Nonexistence of local conservation laws for the generalized Swift-Hohenberg equation

Mathematical Physics 2020-01-17 v1 math.MP Exactly Solvable and Integrable Systems

Abstract

We prove that the generalized Swift--Hohenberg equation with nonlinear right-hand side, a natural generalization of the Swift--Hohenberg equation arising in physics and describing inter alia pattern formation, has no nontrivial local conservation laws.

Keywords

Cite

@article{arxiv.2001.05766,
  title  = {Nonexistence of local conservation laws for the generalized Swift-Hohenberg equation},
  author = {Pavel Holba},
  journal= {arXiv preprint arXiv:2001.05766},
  year   = {2020}
}

Comments

3 pages, no figures