Chinese Journal of Quantum Electronics, Volume. 30, Issue 2, 154(2013)

Nonlinear self-adjointness and conservation laws of forced KdV equation

Li-hua ZHANG*
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    Using the concept of nonlinear self-adjointness and the general theorem on conservation laws developed by Ibragimov, nonlinear self-adjointness and conservation laws for the forced KdV equation are investigated. Its self-adjointness was disscussed firstly, and it’s found that the forced KdV equation is nonlinearly self-adjoint. At the same time, formal Lagrangian for the equation is obtained. Having performed Lie symmetry analysis for the equation, lots of nontrivial conservation laws for the equation were derived according to the difference of Lie symmetries.

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    ZHANG Li-hua. Nonlinear self-adjointness and conservation laws of forced KdV equation[J]. Chinese Journal of Quantum Electronics, 2013, 30(2): 154

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    Paper Information

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    Received: Jun. 13, 2012

    Accepted: --

    Published Online: Apr. 7, 2013

    The Author Email: Li-hua ZHANG (zzlh100@163.com)

    DOI:10.3969/j.issn.1007-5461.2013.02.005

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