New applications of developed Jacobi elliptic function expansion methods

作者: Guan-Ting Liu , Tian-You Fan

DOI: 10.1016/J.PHYSLETA.2005.07.034

关键词: Jacobi methodElliptic integralPhysicsJacobi elliptic functionsMathematical analysisShock waveElliptic functionEnvelope (waves)Partial differential equationCnoidal wave

摘要: Abstract The developed Jacobi elliptic function expansion methods are used to construct the exact periodic solutions of some non-polynomial or ( 2 + 1 ) -dimensional non-linear evolution equations. Some new results presented, which include corresponding solitary shock wave and envelope solutions.

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