Physica Scripta · 2012 · 23 citations · 29 references
Natural SciencesPhysicsDifferential EquationsIntegrable SystemsNonlinear DynamicsNonlinear Wave DynamicsPartial Differential EquationsNonlinearitySoliton Theory
We apply a method based on the identification of coefficients of hyperbolic functions for the construction of the soliton solutions of the cubic and quintic nonlinear Ginzburg–Landau equations. This effective method improves the solution when the nonlinearity increases.
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Method for Solving the Sine-Gordon Equation
Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Physical Review Letters · 1973 · 928 citations
Exact solutions for a compound KdV-Burgers equation
Mingliang Wang · Physics Letters A · 1996 · 853 citations · Full text