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Zbl 1061.35121
Wazwaz, Abdul-Majid
The sine-cosine method for obtaining solutions with compact and noncompact structures. (English)
[J] Appl. Math. Comput. 159, No. 2, 559-576 (2004). ISSN 0096-3003

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 2000:
*35Q53 KdV-like equations
35Q51 Solitons
37K40 Soliton theory, asymptotic behavior of solutions

Keywords: Compactons; Solitary patterns solutions; Generalized KdV equation; $K(n,n)$ equations; Klein-Gordon equation; Boussinesq equation; RLW equation

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