Periodic Bifurcation and Soliton Deflexion for Kadomtsev--Petviashvili Equation
DAI Zheng-De 1,2,3, LI Shao-Lin4, LI Dong-Long2, ZHU Ai-Jun5
1School of Mathematics and Physics, Yunnan University, Kunming 6500912 Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou 5450053 The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong4 Department of Mathematics, Honghe College, Mengzi 6611005 School of Mathematics and Physics, Nanhua University, Hengyang 421001
Periodic Bifurcation and Soliton Deflexion for Kadomtsev--Petviashvili Equation
DAI Zheng-De 1,2,3;LI Shao-Lin4;LI Dong-Long2;ZHU Ai-Jun5
1School of Mathematics and Physics, Yunnan University, Kunming 6500912 Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou 5450053 The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong4 Department of Mathematics, Honghe College, Mengzi 6611005 School of Mathematics and Physics, Nanhua University, Hengyang 421001
摘要The spatial--temporal bifurcation for Kadomtsev--Petviashvili (KP) equations is considered. Exact two-soliton solution and doubly periodic solution to the KP-I equation, and two classes of periodic soliton solutions in different directions to KP-II are obtained using the bilinear form, homoclinic test technique and temporal and spatial transformation method, respectively. The equilibrium solution u0=-1/6, a unique spatial--temporal bifurcation which is periodic bifurcation for KP-I and deflexion of soliton for KP-II, is investigated.
Abstract：The spatial--temporal bifurcation for Kadomtsev--Petviashvili (KP) equations is considered. Exact two-soliton solution and doubly periodic solution to the KP-I equation, and two classes of periodic soliton solutions in different directions to KP-II are obtained using the bilinear form, homoclinic test technique and temporal and spatial transformation method, respectively. The equilibrium solution u0=-1/6, a unique spatial--temporal bifurcation which is periodic bifurcation for KP-I and deflexion of soliton for KP-II, is investigated.
DAI Zheng-De;;LI Shao-Lin;LI Dong-Long;ZHU Ai-Jun. Periodic Bifurcation and Soliton Deflexion for Kadomtsev--Petviashvili Equation[J]. 中国物理快报, 2007, 24(6): 1429-1432.
DAI Zheng-De, , LI Shao-Lin, LI Dong-Long, ZHU Ai-Jun. Periodic Bifurcation and Soliton Deflexion for Kadomtsev--Petviashvili Equation. Chin. Phys. Lett., 2007, 24(6): 1429-1432.
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2007, Vol. 24 
