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In this paper, we study the existence of kink and antikink wave solutions of singularly perturbed Gardner equation from the geometric perspective. We obtain the sufficient conditions to guarantee the… Click to show full abstract
In this paper, we study the existence of kink and antikink wave solutions of singularly perturbed Gardner equation from the geometric perspective. We obtain the sufficient conditions to guarantee the existence of kink and antikink wave solutions of the singularly perturbed Gardner equation when the perturbation parameter is sufficiently small, by exploiting the geometric singular perturbation theory and the Melnikov function method.
Keywords:
solutions singularly;
wave solutions;
antikink wave;
existence kink;
singularly perturbed;
kink antikink
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
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recommendations!