## Exact solitary-wave solutions with compact support for the modified KdV equation.(English)Zbl 1067.35099

Summary: The modified KdV equation, $$u_t + u^{2}u_{x} + u_{xxx} = 0$$, which exhibits compactons (solitons with compact support), is investigated. New solitary solutions with compact support are developed by using the decomposition method and the symbolic computation system Maple.

### MSC:

 35Q53 KdV equations (Korteweg-de Vries equations) 35C05 Solutions to PDEs in closed form 37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems

### Keywords:

compactons; symbolic computation

Maple
Full Text:

### References:

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