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Third-order superintegrable systems separable in parabolic coordinates
Integrability Superintegrability Separation of Variables Classical and Quantum Mechanics
2012/4/23
In this paper, we investigate superintegrable systems which separate in parabolic coordinates and admit a third-order integral of motion. We give the corresponding determining equations and show that ...
Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling
Lie-algebra Non-Hermitian quantum mechanics PT-symmetry Multidimensional models Harmonic oscillator Exactly solvable
2011/10/8
Abstract: Using SU(2)X SU(2) Lie-group structure we obtain the algebraization of 2D harmonic oscillator model with complex quadratic coupling. It is shown that the original time-independent Schr\"odin...
Bound states of PT-symmetric separable potentials
PT-symmetric separable potentials High Energy Physics - Theory
2011/9/30
Abstract: All of the PT-symmetric potentials that have been studied so far have been local. In this paper nonlocal PT-symmetric separable potentials of the form $V(x,y)=i\epsilon[U(x)U(y)-U(-x)U(-y)]$...
Systems of Kowalevski type, discriminantly separable polynomials and quad-graphs
Systems of Kowalevski type discriminantly separable polynomials quad-graphs
2011/7/27
Systems of Kowalevski type, discriminantly separable polynomials and quad-graphs.
Functional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation Method
group foliation method functional separation of variable nonlinear diffusion
equation symmetry group
2007/8/15
2007Vol.47No.2pp.193-199DOI:
Functional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation Method
HU Jia-Yi,1,2,3 QU Chang-Zheng,1,2 and YIN Hui4
1 ...
Variable Separation and Exact Separable Solutions for Equations of Type uxt=A(u,ux)uxx+B(u,ux)
nonlinear evolution equations variable separation generalized conditional
symmetry
2007/8/15
2006Vol.45No.6pp.969-978DOI:
Variable Separation and Exact Separable Solutions for Equations of Type uxt=A(u,ux)uxx+B(u,ux)
ZHANG Shun-Li
Center for Nonlinear Studies, D...
Variable Separation and Derivative-Dependent Functional Separable Solutions
to Generalized KdV Equations
variable separation conditional symmetry
KdV-type equation
2007/8/15
2003Vol.40No.4pp.401-406DOI:
Variable Separation and Derivative-Dependent Functional Separable Solutions
to Generalized KdV Equations
ZHANG Shun-Li1,2 and LOU Sen-Yue1,3,4
...
Classification and Functional Separable Solutions to
Extended Nonlinear Wave Equations
nonlinear wave equations functional separable solutions
generalized conditional symmetry
2007/8/15
2005Vol.44No.4pp.589-596DOI:
Classification and Functional Separable Solutions to
Extended Nonlinear Wave Equations
ZHANG Shun-Li,1,2,3 LOU Sen-Yue,3,4
QU Chang-Zheng,2 and YUE R...
Variable Separation and Derivative-Dependent Functional Separable
Solutions to Generalized Nonlinear Wave Equations
variable separation nonlinear wave derivative-dependent
functional separable solution
2007/8/15
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,...