Name
Abstract | ||
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Abstract In this paper, a fifth-order variable-coefficient nonlinear Schrodinger equation for the attosecond pulses in an inhomogeneous optical fiber is studied. With the aid of auxiliary functions, we obtain the variable-coefficient Hirota bilinear equations and corresponding integrable constraints. Under those constraints, we obtain the Lax pair, conservation laws, one-, two- and three-soliton solutions via the Hirota method and symbolic computation. Soliton structures and interactions are discussed: (1) For the one soliton, we discuss the influence of the group velocity dispersion term α ( x ) and fifth-order dispersion term δ ( x ) on the velocities and structures of the solitons, where x is the normalized propagation along the fiber, and derive a constraint contributing to the stationary soliton; (2) For the two solitons, we analyze the interactions between them with different values of α ( x ) and δ ( x ), and derive the quasi-periodic formulae for three cases of the bound states: When α ( x ) and δ ( x ) are the linear functions of x , quasi-periodic attraction and repulsion lead to the redistribution of the energy of the two solitons, and ratios among the quasi-periods are derived; When α ( x ) and δ ( x ) are the quadratic functions of x , the ratios among them are also obtained; When α ( x ) and δ ( x ) are the periodic functions of x , bi-periodic phenomena are obtained; (3) For the three solitons, including the parabolic, cubic, periodic and stationary structures, interactions among them with different values of the α ( x ) and δ ( x ) are presented. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.cnsns.2016.05.013 | Communications in Nonlinear Science and Numerical Simulation |
Keywords | DocType | Volume |
Optical fiber,Fifth-order variable-coefficient nonlinear Schrödinger equation,Hirota method,Solitons,Quasi-periodic bound state | Journal | 42 |
ISSN | Citations | PageRank |
1007-5704 | 4 | 1.07 |
References | Authors | |
13 | 5 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jin-Wei Yang | 1 | 11 | 3.23 |
| Yi-Tian Gao | 2 | 42 | 14.96 |
| Chuan-Qi Su | 3 | 11 | 3.23 |
| Da-Wei Zuo | 4 | 8 | 2.71 |
| Yu-Jie Feng | 5 | 8 | 2.37 |