Vector Hermite–Gaussian spatial solitons in (2+1)-dimensional strongly nonlocal nonlinear media

• Published in: Nonlinear dynamics Vol. 83; no. 1-2; pp. 713 - 718
• Main Authors: Wu, Hong-Yu, Jiang, Li-Hong
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 2016; Springer Nature B.V
• Subjects: Automotive Engineering; Classical Mechanics; Control; Dynamical Systems; Engineering; Hermite polynomials; Mathematical analysis; Mechanical Engineering; Modulation; Nonlinear dynamics; Nonlinearity; Original Paper; Schrodinger equation; Schroedinger equation; Solitary waves; Solitons; Vectors (mathematics); Vibration; Vector Hermite–Gaussian spatial solitons; (2+1)-dimensional coupled nonlocal nonlinear Schrödinger equation; Strongly nonlocal nonlinear media
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-015-2359-8

We obtain an analytical vector Hermite–Gaussian spatial soliton solution of the (2+1)-dimensional coupled nonlocal nonlinear Schrödinger equation in the inhomogeneous nonlocal nonlinear media, and investigate the periodic expansion and compression behaviors of Hermite–Gaussian spatial solitons in a periodic modulation system. The structure of Hermite–Gaussian soliton lattice is decided by the degree ( n ,  m ) of Hermite polynomials. The evolution of the soliton-lattice breather appears the full breathing cycle, and the interval between solitons oscillates periodically as the wave propagates. The amplitude and width change periodically; however, they exist opposite trend in the periodic modulation system.