In the present paper, the coupled nonlinear Schrdinger (CNLS) equations satisfying the Painlev茅 property are considered, and as a result, their solitary waves are formally derived using a generalized method based on the technique of variable transformation. Furthermore, by employing case studies, ...
A hierarchy of exact analytic solitary-wave solutions for $N$ coupled nonlinear Schr"odinger equations for which the nonlinear coupling parameters can change continuously and cover many regions is presented. Besides their potentially many practical applications to optical communication and multispecies Bose...
solitary waveselliptic functionsnonlinear Schrodinger equationsquadratic solitonsExact solutions for two classes of coherently coupled nonlinear envelope equations are derived in terms of products of Jacobi elliptic functions. Physical applications are illustrated in the context of nonlinear optics, namely, ...
N-soliton solutions are derived for a non-isospectral general coupled nonlinear Schrodinger equation by using Hirota's bilinear method.One-soliton solutions exhibit spatially and temporally localized waves with arbitrary amplitude, which copes with the feature of the so-called rouge waves.Two-soliton in...
In this paper we discussed analytically integrable coupled nonlinear Schrdinger Equation with Kerr law nonlinearity with the aid of newly developed technique named as extended modified auxiliary equation mapping method. As a result of which we have found a variety of new families of solitary wave ...
Solitary Waves for Coupled Nonlinear Schrdinger Equations A hierarchy of exact analytic solitary-wave solutions for N coupled nonlinear Schrdinger equations for which the nonlinear coupling parameters can change c... FT Hioe - 《Physical Review Letters》 被引量: 118发表: 1999年 General N-Dark–Da...
We obtain conditions for the nonlinear stability (Theorem 5.1) of solitary waves fro two classes of nonlinear dispersive equations which arise in the mathematical description of long wave propagation:(u is in general complex-valued), whe... Weinstein,I Michael - 《Communications in Partial Different...
Nonparaxial solitons and the dynamics of solitary waves for the coupled nonlinear Helmholtz systems. Opt. Quant. Elec. 55, 1022 (2023). Article Google Scholar Gai, L., Wu, W., Ding, T. & Qian, Y. Lump wave solutions, lump-stripe soliton inelastic collision phenomena and rogue-type ...
nonlinear terms in (1). Figure 7d presents the evolu-tion of two bright solitary-waves. Similar to the darksolitary-waves, the interaction results in a decrease ofthe amplitude, a decrease of the separation distance,but an exponentially decaying tail on the right side, asshown in Fig. 7e ...
Three techniques are used to investigate mode coupling as acoustic energy passes through continental-shelf internal solitary waves (ISW's). Results from all techniques agree. The waves considered here are single downward undulations of a thermocline layer separating upper and lower well-mixed layers. ...