Journal
ANNALS OF PHYSICS
Volume 367, Issue -, Pages 251-257Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2016.01.019
Keywords
Parabola soliton; Nonautonomous Kadomtsev-Petviashvili equation; Bilinear method; Integrability
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Funding
- National Natural Science Foundation of China [11302014]
- Fundamental Research Funds for the Central Universities [50100002013105026, 50100002015105032]
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Under investigation in this paper is a nonautonomous Kadomtsev-Petviashvili (KP) equation in fluids and plasmas. The integrability of this equation is examined via the Painleve analysis and its multi-soliton solutions are constructed. A constraint is proposed to ensure the existence of parabola solitons for such KP equation. Based on the constructed solutions, the solitonic propagation and interaction, including the elastic interaction, inelastic interaction and soliton resonance for parabola solitons, are discussed. The results might be useful for shallow water wave and rogue wave. (C) 2016 Elsevier Inc. All rights reserved.
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