Differential transform method for solving solitary wave with discontinuity. (English) Zbl 1238.35124
Summary: In this Letter, the differential transform method (DTM) is developed to solve solitary waves governed by Camassa-Holm equation. Purely analytic solutions are given for solitons with and without continuity at crest. A Padé technique is also combined with the DTM. This provides us a new analytic approach to solve solitons with discontinuity.
MSC:
| 35Q51 | Soliton equations |
| 76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |
| 35C08 | Soliton solutions |
| 35R05 | PDEs with low regular coefficients and/or low regular data |
| 37K35 | Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems |
| 41A21 | Padé approximation |
Keywords:
differential transform method; solitary wave; differential transform-Padé approximation; discontinuityReferences:
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