Group analysis and conservation laws of an integrable Kadomtsev–Petviashvili equation
Articles
Gangwei Wang
Hebei University of Economics and Business
Qi Wang
Hebei University of Economics and Business
Yingwei Chen
Hebei University of Economics and Business
Published 2018-12-14
https://doi.org/10.15388/NA.2019.1.3
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Keywords

integrable KP equation
symmetry analysis
soliton solutions
nonlinear self-adjointness
conservation laws

How to Cite

Wang, G., Wang, Q. and Chen, Y. (2018) “Group analysis and conservation laws of an integrable Kadomtsev–Petviashvili equation”, Nonlinear Analysis: Modelling and Control, 24(1), pp. 34–46. doi:10.15388/NA.2019.1.3.

Abstract

In this paper, an integrable KP equation is studied using symmetry and conservation laws. First, on the basis of various cases of coefficients, we construct the infinitesimal generators. For the special case, we get the corresponding geometry vector fields, and then from known soliton solutions we derive new soliton solutions. In addition, the explicit power series solutions are derived. Lastly, nonlinear self-adjointness and conservation laws are constructed with symmetries.

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