Open AccessNew travelling wave solutions for fractional regularized long-wave equation and fractional coupled Nizhnik-Novikov-Veselov equation
Author(s) -
Özkan Güner
Publication year - 2017
Publication title -
an international journal of optimization and control: theories and applications/e-an international journal of optimization and control: theories and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 6
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2018.00417
Subject(s) - ansatz , novikov self consistency principle , hyperbolic function , mathematics , mathematical analysis , fractional calculus , trigonometric functions , rational function , function (biology) , trigonometry , partial differential equation , wave equation , traveling wave , periodic wave , mathematical physics , pure mathematics , geometry , evolutionary biology , biology
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.