On certain shallow water models, scaling invariance and strict self-adjointness

Authors

  • Priscila Leal da Silva
  • Igor Leite Freire

DOI:

https://doi.org/10.5540/03.2015.003.01.0022

Keywords:

Strict self-adjointness, Ibragimov's conservation theorem, conservation laws.

Abstract

In this work we establish conditions for a class of third order partial differential
equations to be strictly self-adjoint and scale invariant. The obtained family of equations includes the Benjamin-Bona-Mahony, Camassa-Holm and Novikov equations. Using the strict self-adjointness and Ibragimov’s conservation theorem, we establish some local conservation laws for some of the mentioned equations.

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Published

2015-08-25

Issue

Section

Análise Aplicada