Abstract
We construct an algorithm to investigate numerically non-symmetric solitary wave-like solutions of an ordinary nonlinear differential equation. We reformulate the bifurcation problem, introducing a new parameter; and in such a way we expel the trivial solution of the original problem. The Method of Variational Imbedding (MVI) is used for solving the inverse problem. We illustrate the approach by comparing the numerical solution with a known exact solution of the Boussinesq equation.
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References
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Marinov, T.T., Marinova, R. (2014). Soliton Solutions as Inverse Problem for Coefficient Identification. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2013. Lecture Notes in Computer Science(), vol 8353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43880-0_4
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DOI: https://doi.org/10.1007/978-3-662-43880-0_4
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