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Symplectic integration of Sine–Gordon type systems

Author

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  • Lu, Xiaowu
  • Schmid, Rudolf

Abstract

We construct a class of symplectic integration schemes to general Sine–Gordon type systems. We also conduct several numerical tests for these symplectic schemes. Our numerical results demonstrate the effectiveness of these schemes for numerical computation of the solutions to the general Sine–Gordon type systems.

Suggested Citation

  • Lu, Xiaowu & Schmid, Rudolf, 1999. "Symplectic integration of Sine–Gordon type systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 50(1), pages 255-263.
    • Handle: RePEc:eee:matcom:v:50:y:1999:i:1:p:255-263
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    References listed on IDEAS

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    1. Lu, Xiaowu & Schmid, Rudolf, 1997. "A symplectic algorithm for wave equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 43(1), pages 29-38.
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    Cited by:

    1. Lu, Xiaowu, 2001. "Symplectic computation of solitary waves for general Sine–Gordon equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(4), pages 519-532.
    2. Sheng, Q. & Khaliq, A.Q. M. & Voss, D.A., 2005. "Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(4), pages 355-373.
    3. Karpeev, D.A. & Schober, C.M., 2001. "Symplectic integrators for discrete nonlinear Schrödinger systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 56(2), pages 145-156.

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    2. Lu, Xiaowu, 2001. "Symplectic computation of solitary waves for general Sine–Gordon equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(4), pages 519-532.

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