Compacton solutions and floating compacton solutions of one type of nonlinear equations

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Compacton solutions and floating compacton solutions of one type of nonlinear equations

Yin Jiu-Li , Tian Li-Xin

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Compacton solutions and floating compacton solutions of one type of nonlinear equations

Yin Jiu-Li, Tian Li-Xin

Acta Phys. Sin., 2004, 53(9): 2821-2827.

doi: 10.7498/aps.53.2821

Abstract
Study one type of nonlinear equations,namely generalized Camassa-Holm equation C(n):u\-t+ku\-x+β\-1uxxt+β\-2(un+1)x+β\-3u\-x(u\+n)xx+β\- 4u(u\+n)xxx=0.Obtain abundant exact solutions by four ansasz,particularly when k≠0,we obt ain compacton solutions;while whenk=0,we obtain floating compacton solution s.At last,we also study other forms of fully nonlinear generalized Camassa-Holm equation,and their compacton solutions are governed by nonlinear equations.

Keywords:
generalized Camassa-Holm equation /

com pacton /

floating compacton
Authors and contacts
Yin Jiu-Li,

Tian Li-Xin

1.
江苏大学非线性科学研究中心，镇江 212013
References

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Vol. 53, Issue 9 - 2004-05-05

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