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Oscillatory critical amplitudes have been repeatedly observed in hierarchical models and, in the cases that have been taken into consideration, these oscillations are so small to be hardly detectable....
Abstract: This paper addresses both necessary and relevant sufficient extremum conditions for a variational problem defined by a smooth Lagrangian, involving higher derivatives of several variable vec...
Abstract: The paper presents the classification of matrix valued superpotentials corresponding to shape invariant systems of Schr\"odinger equations. All inequivalent irreducible matrix superpotential...
Abstract: We consider the Nelson model with variable coefficients. Nelson models with variable coefficients arise when one replaces in the usual Nelson model the flat Minkowski metric by a static metr...
The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation.
We apply Painlev\'e test to the most general variable coefficient nonlinear Schrodinger (VCNLS) equations as an attempt to identify integrable classes and compare our results versus those obtained by ...
2001Vol.35No.6pp.641-646DOI: General Symmetry Approach to Solve Variable-Coefficient Nonlinear Equations RUAN Hang-Yu,1,2 CHEN Yi-Xin2 and LOU Sen-Yue1 1 Institute of Mo...
2006Vol.45No.2pp.343-346DOI: The Solitary Waves for Cubic-Quintic Nonlinear Schrödinger Equation with Variable Coefficients ZHANG Jin-Liang,1 WANG Ming-Liang,1,2 and LI Xiang...
2005Vol.44No.5pp.821-826DOI: A Generalized Variable-Coefficient Algebraic Method Exactly Solving (3+1)-Dimensional Kadomtsev-Petviashvilli Equation BAI Cheng-Lin,1 BAI Cheng-Jie,2...
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.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...

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