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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 ...
Quantum mechanical potentials exactly solvable in terms of higher hypergeometric functions. I: The third-order case
Quantum mechanical higher hypergeometric third-order
2011/7/25
Abstract: We present a new six-parameter family of potentials whose solutions are expressed in terms of the hypergeometric functions 3F2, 2F2 and 1F2. Both the scattering data and the bound states of ...
Bi-Hamiltonian Structure of a Third-Order Nonlinear Evolution
Equation on Plane Curve Motions
nonlinear evolution equation bi-Hamiltonian structure
hereditary operator integrability
2007/8/15
2007Vol.48No.2pp.211-214DOI:
Bi-Hamiltonian Structure of a Third-Order Nonlinear Evolution
Equation on Plane Curve Motions
REN Wen-Xiu1,2 and Alatancang1
1 Department of...
