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HUI GAO1, TIANZHOU XU1, SHAOJIE YANG1, GANGWEI WANG1,*
In this paper, we study a nonlocal nonlinear Schrödinger equation (NNLSE). The infinitesimal generator, symmetry group and similarity reductions are obtained by the aid of Lie group method. Subsequently, similarity solutions of NNLSE are derived from the reduction equations. Finally, the auxiliary function method gives some exact solutions. Results show that these solutions which we obtain can be used to study relating physical problems..
Nonlocal nonlinear Schrödinger equation, Soliton, Solutions.
HUI GAO, TIANZHOU XU, SHAOJIE YANG, GANGWEI WANG, Exact solutions of a nonlocal nonlinear Schrödinger equation, Optoelectronics and Advanced Materials - Rapid Communications, 10, 9-10, September-October 2016, pp.651-657 (2016).
Submitted at: March 30, 2016
Accepted at: Sept. 29, 2016
Optoelectronics and Advanced Materials - Rapid Communications
(2023): 0.5 - 2023 Journal Citation Reports (Clarivate Analytics, 2024)
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