Chin. Phys. Lett.  2008, Vol. 25 Issue (1): 1-3    DOI:
Original Articles |
A Darboux Transformation for the Coupled Kadomtsev--Petviashvili Equation
YANG Guang-You;LIU Qing-Ping
Department of Mathematics, China University of Mining and Technology, Beijing 100083
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YANG Guang-You, LIU Qing-Ping 2008 Chin. Phys. Lett. 25 1-3
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Abstract The coupled Kadomtsev--Petviashvili equation is considered. It is shown that a Darboux transformation can be constructed by means of an elementary approach.
Keywords: 02.30.Ik      02.30.Jr      05.45.Yv     
Received: 09 October 2007      Published: 27 December 2007
PACS:  02.30.Ik (Integrable systems)  
  02.30.Jr (Partial differential equations)  
  05.45.Yv (Solitons)  
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YANG Guang-You
LIU Qing-Ping
[1] Jimbo M and Miwa T 1983 Publ. Res. Inst. Math. Sci. KyotoUniversity 19 943
[2] Hietarinta J 1990 Partially Integrable EvolutionEquations in Physics eds Conte R and Boccara N (Dordrecht: Kluwer)
[3] Hirota R and Ohta Y 1991 J. Phys. Soc. Jpn. 60 798
[4] Kac V and van de Leur J W 1998 The BispectralProblem CRM Proceedings eds Harnad J and Kasman A (New York: AmericanMathematical Society) (Lecture Notes vol 14)
[5] Adler M, Horozov E and Moerbeke P 1999 Int. Math.Res. Notices 11 569
[6] Kakei S 2000 Phys. Lett. A 246 449
[7] Isojima S, Willox R and Satsuma J 2002 J. Phys. A: Math.Gen. 36 9533
[8] van de Leur J W 2004 J. Phys. A: Math. Gen. 37 4395
[9] Nimmo J J C 1995 Nonlinear Evolution Equations andDynamical Systems NEEDS'94 eds Makhankov V G, Bishop B G and Holm DD (Singapore: World Scientific)
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