期刊
PHYSICAL REVIEW E
卷 95, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.95.062208
关键词
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资金
- Indo-French Centre for the Promotion of Advanced Research (IFCPAR) [5104-2]
- Department of Science and Technology-Science and Engineering Research Board (DST-SERB)
- Council of Scientific and Industrial Research (CSIR)
- National Board for Higher Mathematics (NBHM), Government of India
- University Grants Commission (UGC), the Government of India
- University of Burdwan
A nonlinear Schrdinger equation that includes two terms with power-law nonlinearity and external potential modulated both on time and on the spatial coordinates is considered. The model appears in various branches of contemporary physics, especially in the case of lower values of the nonlinearity power. Asignificant generalization of the similarity transformations approach to construct explicit localized solutions for the model with arbitrary power-law nonlinearities is introduced. We obtain the exact analytical bright and kink soliton solutions of the governing equation for different nonlinearities and potentials that are of particular interest in applications to Bose-Einstein condensates and nonlinear optics. Necessary conditions on the physical parameters for propagating envelope formation are presented. The obtained results can be straightforwardly applied to a large variety of nonlinear Schrdinger models and hence would be of value to understand nonlinear phenomena in a diversity of nonlinear media.
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