he 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- Petvia...he 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.展开更多
基金Supported by National Natural Science Foundation of China under Grant Nos.11071164 and 11201302Shanghai Natural Science Foundation under Grant No.10ZR1420800+1 种基金Shanghai Leading Academic Discipline Project under Grant No.XTKX2012the Hujiang Foundation of China under Grant No.B14005
文摘he 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.
