Finite genus solution to the lattice sine-Gordon equation

来源 :International Conference Nonlinear Waves-Theory and Applicat | 被引量 : 0次 | 上传用户：THINKPAD_sl400

【摘要】

：

　　The purpose of the present paper is to investigate the lattice sine-Gordon equation (LSG):(θ)x(Ψn+1-Ψn) + β(sinΨn+1 + sinΨn) =0,with the Lax pair Ex =

【作者】

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CewenCAO;

【机构】

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Department of Mathematics,Zhengzhou University,Zhengzhou,China

【出处】

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International Conference Nonlinear Waves-Theory and Applicat

【发表日期】

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2008年期

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　　The purpose of the present paper is to investigate the lattice sine-Gordon equation (LSG):(θ)x(Ψn+1-Ψn) + β(sinΨn+1 + sinΨn) =0,with the Lax pair Ex =Ux, (θ)xx =VX, where:U=1/ √λ2-β2(λ-βcosΨ-βsinΨ-βsinΨ λ+βcosΨ) , V=(λ/2 w-w-λ/2),with w =-1/2(Ψx + βsinΨ).

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Finite genus solution to the lattice sine-Gordon equation

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