New solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity

By Hadi Rezazadeh. Optik (Stuttgart), 2018

310 citations recorded by the source corpus.

Abstract In this paper, we find new solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity according to the new extended direct algebraic method. When parameters involving this method are taken to be special values we can obtain the solitary wave solutions which is derived from other methods such as, the (G′/G)–expansion method, the modified Kudryashov method, the extended tanh-function method and so on. It is shown that the new extended direct algebraic method, with the help of symbolic computation, provides a more powerful mathematical tool for many other solving nonlinear partial differential equations.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/eb7818b6bf7bb246988316e74e41354e77aeab0d

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

New Solitary Wave Solutions for Variants of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony Equations (2020, methodology): “In recent years, several efficient methods including method of extended tanh [1, 2], tanh-coth [3, 4], Hirota’s direct [5, 6], sine-cosine [7, 8], extended direct algebraic [9, 10], extended trial approach [11, 12], Exp [-φ(ξ)]-Expansion [13, 14], a new auxiliary equation [15, 16], Jacobi elliptic a”