On Conservation Laws of Generalized KP and Boussinesq Equations in Two Dimensions

Maria Luz Gandarias; Stephen Anco

doi:10.3390/proceedings2010079

and

¹

Department of Mathematics, University of Cadiz, 11510 Cádiz, Spain

²

Department of Mathematics and Statistics, Brock University, St Catharines, ON L2S 3A1, Canada

^*

Author to whom correspondence should be addressed.

^†

Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017.

Proceedings2018, 2(1), 79;https://doi.org/10.3390/proceedings2010079

This article belongs to the Proceedings The First International Conference on Symmetry

Version Notes

Order Reprints

Published: 5 January 2018

Nonlinear generalizations of integrable equations in one-dimension, such as the KdV and Bousinesq equations with p-power nonlinearities, arise in many physical applications and are interesting in analysis due to their critical behaviour. In this talk, we study analogous nonlinear generalizations of the integrable KP equation and the 2D Boussinesq equation. We give a complete classification of low-order conservation laws and Lie symmetries for these two-dimensional equations with p-power nonlinearities. We also consider exact solutions obtained by symmetry reduction.

© 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

On Conservation Laws of Generalized KP and Boussinesq Equations in Two Dimensions^†

Article Metrics

Citations

Article Access Statistics

On Conservation Laws of Generalized KP and Boussinesq Equations in Two Dimensions †

Article Metrics

Citations

Article Access Statistics

On Conservation Laws of Generalized KP and Boussinesq Equations in Two Dimensions^†