Some Properties of Solutions to the Camassa–Holm-Type Equation with Higher-Order Nonlinearities

Authors :: Zhengguang Guo
Chuang Yu
Xiuge Li
Source :: Journal of Nonlinear Science. 28:1901-1914
Publication Year :: 2018
Publisher :: Springer Science and Business Media LLC, 2018.
Abstract: In this paper, we focus on the large time behavior of compact support of the potential for a Camassa–Holm-type equation with nonlinearities of degree $$k+1$$ if the compactly supported initial potential keeps its sign. Moreover, persistence property in weighted Sobolev spaces is also investigated.

Subjects :: Degree (graph theory)
Applied Mathematics
010102 general mathematics
Mathematical analysis
General Engineering
01 natural sciences
010101 applied mathematics
Sobolev space
Type equation
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Modeling and Simulation
Order (group theory)
0101 mathematics
Focus (optics)
Mathematics
Sign (mathematics)

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