Article citationsMore>>

Kato, M., Wang, Y.Z. and Kawashima, S. (2013) Asymptotic Behavior of Solutions to the Generalized Cubic Double Dispersion Equation in One Space Dimension. Kinetic and Related Models, 6, 969-987.
https://doi.org/10.3934/krm.2013.6.969

has been cited by the following article:

• TITLE: Lie Symmetry Reductions and Exact Solutions of a Multidimensional Double Dispersion Equation

  AUTHORS: Jiali Yu, Fuzhi Li, Lianbing She

  KEYWORDS: Lie Group, Multidimensional Double Dispersion Equation, Similarity Solutions, Travelling Wave Solutions

  JOURNAL NAME: Applied Mathematics, Vol.8 No.5, May 25, 2017

  ABSTRACT: In this paper, based on classical Lie group method, we study a multidimensional double dispersion equation, and get its infinitesimal generator, symmetry group and similarity reductions. In particular, similarity solutions and travelling wave solutions of the multidimensional double dispersion equation are derived from the reduction equations.