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Abstract

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

by
Maria Luz Gandarias
1,* and
Stephen Anco
2
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.
Proceedings 2018, 2(1), 79; https://doi.org/10.3390/proceedings2010079
Published: 5 January 2018
(This article belongs to the Proceedings of The First International Conference on Symmetry)
Versions Notes
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.

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MDPI and ACS Style

Gandarias, M.L.; Anco, S. On Conservation Laws of Generalized KP and Boussinesq Equations in Two Dimensions. Proceedings 2018, 2, 79. https://doi.org/10.3390/proceedings2010079

AMA Style

Gandarias ML, Anco S. On Conservation Laws of Generalized KP and Boussinesq Equations in Two Dimensions. Proceedings. 2018; 2(1):79. https://doi.org/10.3390/proceedings2010079

Chicago/Turabian Style

Gandarias, Maria Luz, and Stephen Anco. 2018. "On Conservation Laws of Generalized KP and Boussinesq Equations in Two Dimensions" Proceedings 2, no. 1: 79. https://doi.org/10.3390/proceedings2010079

APA Style

Gandarias, M. L., & Anco, S. (2018). On Conservation Laws of Generalized KP and Boussinesq Equations in Two Dimensions. Proceedings, 2(1), 79. https://doi.org/10.3390/proceedings2010079

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