Affiliation:
1. School of Mathematical Sciences Dalian University of Technology Dalian China
2. School of Mathematical Sciences Beihang University Beijing China
3. Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices South China Normal University Guangzhou China
Abstract
AbstractIn this paper, a series of ripple waves with decay modes for the
‐dimensions Kadomtsev–Petviashvili equation, always viewed as nonintegrable KP equation, are investigated. The decay mode wave solutions including ripplon, lump ripples, and lump chain ripples are described by Airy function, and all solutions are constructed from the Gram determinant form. Their propagation dynamics behavior is studied, and a comprehensive analysis of the asymptotic properties of these solutions has been diligently conducted.
Funder
Liaoning Revitalization Talents Program
Fundamental Research Funds for the Central Universities
National Natural Science Foundation of China
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