A study of solutions of the combined sine cosine Gordon equation
Nan-Hong Kuo, C.D.Hu
TL;DR
This paper analyzes solutions of the combined sine-cosine-Gordon equation using the variable separated ODE method, revealing new solution forms and their relation to physical systems.
Contribution
It introduces a transformed form of solutions and establishes a relation between the phase and parameters, expanding understanding of the equation's solution space.
Findings
Derived new solution forms for the combined sine-cosine-Gordon equation.
Established a relation between phase and parameters in the solutions.
Discussed applications in physical systems.
Abstract
We have studied the solutions of the combined sine-cosine-Gordon Equation found by Wazwaz (App. Math. Comp. 177, 755 (2006)) using the variable separated ODE method. These solutions can be transformed into a new form. We have derived the relation between the phase of the combined sine-cosine-Gordon equation and the parameter in these solutions. Its applications in physical systems are also discussed
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Fractional Differential Equations Solutions