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The integrable quantum models associated to the transfer matrices of spin 1/2 highest weight representations for the 6-vertex reflection algebra are studied in the framework of Sklyanin's quantum sepa...
The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4;<), whose maximal compact subgroup is the Fourier group U(2)F; this includes isotropic and anis...
Abstract: With few exceptions, known explicit solutions of the curve shortening flow (CSE) of a plane curve, can be constructed by classical Lie point symmetry reductions or by functional separation o...
Abstract: The linear canonical transformations of geometric optics on two-dimensional screens form the group $Sp(4,R)$, whose maximal compact subgroup is the Fourier group $U(2)_F$; this includes isot...
We propose a general scheme for separation of variables in the integrable Hamiltonian systems on orbits of the loop algebra $\mathfrak{sl}(2,\Complex)\times \mathcal{P}(\lambda,\lambda^{-1})$. In part...
2005Vol.44No.5pp.779-782DOI: Multi-linear Variable Separation Approach to Solve a (1+1)-Dimensional Coupled Integrable Dispersionless System SHEN Shou-Feng Department of...
2005Vol.44No.4pp.577-582DOI: Extended Group Foliation Method and Functional Separation of Variables to Nonlinear Wave Equations QU Chang-Zheng and ZHANG Shun-Li Center f...
2005Vol.43No.6pp.965-968DOI: Multi-linear Variable Separation Approach to Solve a (2+1)-Dimensional Generalization of Nonlinear Schrödinger System SHEN Shou-Feng,1 ZHANG Jun,...
2004Vol.41No.4pp.497-498DOI: Variable Separation Approach to Solve a (2+1)-Dimensional Integrable System SHEN Shou-Feng,1 PAN Zu-Liang,1 and ZHANG Jun2 1 Department of ...
2004Vol.41No.2pp.161-174DOI: Variable Separation and Derivative-Dependent Functional Separable Solutions to Generalized Nonlinear Wave Equations ZHANG Shun-Li1,2 and LOU Sen-Yue1,...
2004Vol.42No.4pp.565-567DOI: Variable Separation Approach to Solve Nonlinear Systems SHEN Shou-Feng,1 PAN Zu-Liang,1 and ZHANG Jun2 1 Department of Mathematics, Zhejiang...
2004Vol.42No.4pp.568-572DOI: Variable Separation Solution for (1+1)-Dimensional Nonlinear Models Related to Schrodinger Equation XU Chang-Zhi1,2 and ZHANG Jie-Fang1 1 In...

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