TY - JOUR
T1 - On Solving the (2+1)-Dimensional Nonlinear Cubic-Quintic Ginzburg-Landau Equation Using Five Different Techniques
AU - Zayed , Elsayed M. E.
AU - Al-Nowehy , A. G.
AU - Elshater , Mona E. M.
JO - Journal of Partial Differential Equations
VL - 2
SP - 97
EP - 118
PY - 2018
DA - 2018/07
SN - 31
DO - http://doi.org/10.4208/jpde.v31.n2.1
UR - https://global-sci.org/intro/article_detail/jpde/12513.html
KW - (G′/G)-expansion method
KW - auxiliary equation method
KW - modified simple equation method
KW - first integral method
KW - Riccati equation method
KW - exact traveling wave solutions
KW - solitary wave solutions
KW - Cubic-quintic Ginzburg-Landau equation.
AB - <p>In this article, we apply five different techniques, namely the (G′/G)-expansion method, an auxiliary equation method, the modified simple equation method, the first integral method and the Riccati equation method for constructing many new exact solutions with parameters as well as the bright-dark, singular and other soliton solutions of the (2+1)-dimensional nonlinear cubic-quintic Ginzburg-Landau equation. Comparing the solutions of this nonlinear equation together with each other are presented. Comparing our newresults obtained in this articlewith thewell-known results are given too.</p>