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Symmetry Group Theorem of the Lin-Tsien Equation and Conservation Laws Relating to the Symmetry of the Equation

並列摘要


We derive the symmetry group theorem for the Lin-Tsien equation by using the modified CK direct method, from which we obtain the corresponding symmetry group. Conservation laws corresponding to the Kac-Moody-Virasoro symmetry algebra of the Lin-Tsien equation are obtained up to second order group invariants.

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參考文獻


M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (SIAM, Philadelphia, 1981).
J. H. Li and S. Y. Lou, Chin. Phys. B 17, 747 (2008).
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W. F. Ames, Nonlinear Partial Differential Equations in Engineering 2 (Academic Press, New York, 1972).
G. W. Bluman and J. D. Cole Similarity Methods for Differential Equations (Springer, New York, 1974).

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