Abstract. Systems of two linear partial differential equations (PDEs) with constant coefficients define a natural basis of elementary functions to build some ...
Abstract. The complex Ginzburg–Landau equation having polynomial law of nonlinearity with four powers is considered. The Cauchy problem for this equation cannot ...
Apr 14, 2023 · Title:Exact solutions to a family of complex Ginzburg-Landau equations with cubic-quintic nonlinearity ; MSC classes: 35C05 (Primary) 35C07, ...
Abstract. The exact solutions to the complex Ginzburg-Landau equation should not be searched for by perturbing some linear equation. Indeed, there exist methods ...
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Jul 18, 2023 · The proposed method provides an important and effective mathematical tool to construct exact solutions according to different complex equations.
Feb 22, 2024 · In this paper, the new extended trial equation method is used to solve nonlinear fractional partial differential equations. Based on the ...
Apr 17, 2023 · Abstract. In these notes, using the method of differential constraints, novel exact kink-like solutions are obtained for certain.
Apr 4, 2024 · Exact solutions to the fractional complex Ginzburg-Landau equation with cubic-quintic and Kerr law nonlinearities, Liu Yang, Ben Gao.
Abstract. Systems of two linear partial differential equations (PDEs) with constant coefficients define a natural basis of elementary functions to build ...
Nov 6, 2022 · In this paper, the fractional complex Ginzburg–Landau equation with time-dependent coefficients, which is used to depict diverse physical ...