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Linear superposition method for (2+1)-dimensional nonlinear wave equations

Linear superposition method for (2+1)-dimensional nonlinear wave equations
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摘要 New forms of different-periodic travelling wave solutions for the (2+1)-dimensional Zakharov-Kuznetsov (ZK) equation and the Davey-Stewartson (DS) equation are obtained by the linear superposition approach of Jacobi elliptic function. A sequence of cyclic identities plays an important role in these procedures. New forms of different-periodic travelling wave solutions for the (2+1)-dimensional Zakharov-Kuznetsov (ZK) equation and the Davey-Stewartson (DS) equation are obtained by the linear superposition approach of Jacobi elliptic function. A sequence of cyclic identities plays an important role in these procedures.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第4期665-670,共6页 中国物理B(英文版)
基金 Project supported by the National Natural Science Foundation of China (Grant No 10575087) and the Natural Foundation of Zhejiang Province (Grant No 102053).
关键词 linear superposition nonlinear equation travelling wave solution linear superposition, nonlinear equation, travelling wave solution
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  • 1Gardner S C, Green M J, Kruskal D M and Miura M R 1967 Phys. Rev. Lett. 19 1095.
  • 2Ablowitz M J, Kaup D J, Newell A C and Segur H 1973 Phys. Rev. Lett. 30 1262.
  • 3Ablowitz M J and Clarkson P A 1991 Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge,UK: Cambridge University Press).
  • 4Miura M R 1978 Backlund Transformation (Berlin:Springer).
  • 5Gu C H, Li Y S, Hu H S, Hao B L, Cao C W and Tu G Z 1999 Darboux Transformation in Solitons Theory and its Geometry Applications (Shanghai: Shanghai Science Technology Press).
  • 6Hirota R 1971 Phys. Rev. Lett. 27 1192.
  • 7Weiss J, Tabor M and Carnevale G 1983 J. Math. Phys.24 522.
  • 8Weiss J 1983 J. Math. Phys. 24 1405.
  • 9Conte R, Fordy A P and Pickering A 1993 Phys. D 69 33.
  • 10Lou S Y 1998 Acta Phys. Sin. 47 1937.

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