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A construction of compact and noncompact solutions for nonlinear dispersive equations of even order. (English) Zbl 1027.35121
Summary: A construction of compact and noncompact solutions for nonlinear dispersive partial differential equations of even order is considered. Two model equations of even orders k4 are adopted to carry out this study. The analysis reveals the presence of distinct roots of different indices that play a significant role in the solutions.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35Q51Soliton-like equations
37K40Soliton theory, asymptotic behavior of solutions