Nonlinear Waves on Localized and Periodic Backgrounds with Time-Space Modulation

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2017,（5）
• 页码范围: 520-526
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/0253-6102/67/5/520

摘要

We present one family of general analytical solutions for the generalized nonlinear Schrodinger equation with time-space modulation via the method of a combination of the Darboux transformation and similarity transformation.Nonlinear waves on different localized and periodic backgrounds depending on the corresponding nonlinearity modulations are obtained.In particular,we demonstrate the existence and property of localized modes on a doubleperiodic background under a special designed optical lattice potential.Our results may raise the possibility of related experiments and potential applications in nonlinear optics and Bose-Einstein condensates.