| Symmetry Reduction of (2+1)-Dimensional Lax–Kadomtsev–Petviashvili Equation |
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| 基金项目： | Supported by National Natural Science Foundation of China under Grant Nos. 11071164 and 11201302, Shanghai Natural Science Foundation under Grant No. 10ZR1420800, Shanghai Leading Academic Discipline Project under Grant No. XTKX2012 and the Hujiang Foundation of China under Grant No. B14005 |
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| 摘 要： | The Lax–Kadomtsev–Petviashvili equation is derived from the Lax fifth order equation, which is an important mathematical model in fluid physics and quantum field theory. Symmetry reductions of the Lax–Kadomtsev–Petviashvili equation are studied by the means of the Clarkson–Kruskal direct method and the corresponding reduction equations are solved directly with arbitrary constants and functions.
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| 收稿时间： | 2014-10-22 |
Symmetry Reduction of (2+1)-Dimensional Lax-Kadomtsev-Petviashvili Equation |
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| HU Heng-Chun,WANG Jing-Bo,ZHU Hai-Dong. Symmetry Reduction of (2+1)-Dimensional Lax-Kadomtsev-Petviashvili Equation[J]. Communications in Theoretical Physics, 2015, 63(2): 136-140 |
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| Authors: | HU Heng-Chun WANG Jing-Bo ZHU Hai-Dong |
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| Affiliation: | 1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;2. National Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China |
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| Abstract: | The Lax-Kadomtsev-Petviashvili equation is derived from the Lax fifth order equation, which is an important mathematical model in fluid physics and quantum field theory. Symmetry reductions of the Lax-Kadomtsev-Petviashvili equation are studied by the means of the Clarkson-Kruskal direct method and the corresponding reduction equations are solved directly with arbitrary constants and functions. |
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| Keywords: | Clarkson-Kruskal direct method Lax-Kadomtsev-Petviashvili equation symmetry reduction exact solution |
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