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The sine-cosine method for obtaining solutions with compact and noncompact structures. (English) Zbl 1061.35121
Summary: We establish compact and noncompact solutions for nonlinear dispersive equations. A sine-cosine method is used to demonstrate this work. The different physical structures of the focusing branch and the defocusing branch are emphasized. Many models are approached to illustrate the usage of our main results.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
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