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

Chaudry Masood Khalique, Isaiah Elvis Mhlanga

• 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.