New travelling wave solutions for fractional regularized long-wave equation and fractional coupled Nizhnik-Novikov-Veselov equation

An International Journal of Optimization and Control: Theories & Applications

article

Ozkan Guner¹ 

[1] Cankiri Karatekin University

关键词: Exact solution;    ansatz method;    (G′/G)-expansion method;    fractional regularized long-wave equation;    fractional coupled Nizhnik-Novikov-Veselov equation.;   

DOI  :  10.11121/ijocta.01.2018.00417

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

In this paper, solitary-wave ansatz and the (G?/G)-expansion methods have been used to obtain exact solutions of the fractional regularized long-wave (RLW) and coupled Nizhnik-Novikov-Veselov (NNV) equation. As a result, three types of exact analytical solutions such as rational function solutions, trigonometric function solutions, hyperbolic function solutions are formally derived these equations. Proposed methods are more powerful and can be applied to other fractional differential equations arising in mathematical physics.

【 授权许可】

CC BY