New solitons and kink solutions for the Gardner equation. (English) Zbl 1118.35352
Summary: The Gardner equation, also called combined KdV-mKdV equation, is studied. New hyperbolic ansätze are proposed to derive solitons solutions. The tanh method is used as well to obtain kink solutions.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 37K40 | Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems |
Software:
RATHReferences:
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