30 citations · 212 across the 33 of their papers we have counts for
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Duality family of KdV equation
Xin Gu, Yuan-Yuan Liu, Wen-Du Li +1
It is revealed that there exist duality families of the KdV type equation. A duality family consists of an infinite number of generalized KdV (GKdV) equations. A duality transforma…
Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate
Wen-Du Li, Wu-Sheng Dai
Inspired by general relativity, we suggest an approach for long-range potential scattering. In scattering theory, there is a general theory for short-range potential scattering, bu…
Quantum Newton duality
Wen-Du Li, Wu-Sheng Dai
Newton revealed an underlying duality relation between power potentials in classical mechanics. In this paper, we establish the quantum version of the Newton duality. The main aim…
Exact solution of inverse-square-root potential
Wen-Du Li, Wu-Sheng Dai
An exact solution of the three-dimensional spherical symmetry inverse-square-root potential , including scattering and bound-state solutions, i…
Scattering theory without large-distance asymptotics in arbitrary dimensions
Wen-Du Li, Wu-Sheng Dai
In conventional scattering theory, by large-distance asymptotics, at the cost of losing the information of the distance between target and observer, one imposes a large-distance as…
Scattering theory without large-distance asymptotics: scattering boundary condition
Wen-Du Li, Wu-Sheng Dai
By large-distance asymptotics, in conventional scattering theory, at the cost of losing the information of the distance between target and observer, one arrives at an explicit expr…
Scattering theory without large-distance asymptotics
Tong Liu, Wen-Du Li, Wu-Sheng Dai
In conventional scattering theory, to obtain an explicit result, one imposes a precondition that the distance between target and observer is infinite. With the help of this precond…