Travelling waves and conservation laws of a (2+1)-dimensional coupling system with Korteweg-de Vries equation

• Autores: Chaudry Masood Khalique, Isaiah Elvis Mhlanga
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 3, Nº. 1, 2018, págs. 241-254
• Idioma: inglés
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• Resumen

  • In this paper we study a (2+1)-dimensional coupling system with the Korteweg-de Vries equation, which is associated with non-semisimple matrix Lie algebras. Its Lax-pair and bi-Hamiltonian formulation were obtained and presented in the literature. We utilize Lie symmetry analysis along with the (G 0/G)−expansion method to obtain travelling wave solutions of this system. Furthermore, conservation laws are constructed using the multiplier method.