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A reliable treatment of the physical structure for the nonlinear equation $$K(m,n)$$. (English) Zbl 1072.35580
Summary: The nonlinear equation $$K(m, n)$$ is studied for all possible values of $$m$$ and $$n$$. We show that this equation may exhibit compactons, solitons or periodic solutions. The analysis reveals the change of the physical structure of the solutions as a result of the change of $$m$$ and $$n$$.

MSC:
 35Q53 KdV equations (Korteweg-de Vries equations) 37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
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References:
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