Author/Authors :
WANG, G.-W. Beijing Institute of Technology - School of Mathematics and Statistics, China , XU, T.Z. Beijing Institute of Technology - School of Mathematics and Statistics, China , ZEDAN, H.A. King Abdulaziz University - Faculty of Science - Department of Mathematics, Saudi Arabia , ZEDAN, H.A. University of Kafr El-Sheikh - Faculty of Education - Department of Mathematics, Egypt , ABAZARI, R. behbahan khatam alanbia university of technology - Department of Mathematics, بهبهان, ايران , TRIKI, H. Badji Mokhtar University - Faculty of Sciences - Radiation Physics Laboratory, Department of Physics, Algeria , BISWAS, A. Delaware State University - Department of Mathematical Sciences, USA , BISWAS, A. King Abdulaziz University - Faculty of Science - Department of Mathematics, Saudi Arabia
Abstract :
The Nizhnik-Novikov-Veselov (NNV) equation has been solved and the ansatz approach reveals the solitary wave as well as the topological 1-soliton solution. The Lie symmetry analysis and G΄ /G-expansion method give a few more interesting solutions and the Riccati equation approach derive solutions that are of fractional type hyperbolic functions and triangle functions with several constraint conditions.
Keywords :
Traveling Waves , Lie Symmetry , Integrability , Solitons.
