The Solitary Waves for Cubic-Quintic Nonlinear Schrödinger Equation with Variable Coefficients |
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| Authors: | ZHANG Jin-Liang WANG Ming-Liang LI Xiang-Zheng |
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| Affiliation: | 1. Department of Mathematics and Physics,Henan University of Science and Technology, Luoyang 471003, China;2. Department of Mathematics, Lanzhou University, Lanzhou 730000, China |
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| Abstract: | The cubic-quintic nonlinearSchrödinger equation (CQNLS) plays important parts in the optical fiber and the nuclear hydrodynamics. By using the homogeneous balance principle, the bell type, kink type, algebraic solitarywaves, and trigonometric traveling waves for the cubic-quintic nonlinearSchrödinger equation with variable coefficients (vCQNLS) are derivedwith the aid of a set of subsidiary high-order ordinary differentialequations (sub-equations for short). The method used in this paper mighthelp one to derive the exact solutions for the other high-order nonlinearevolution equations, and shows the new application of the homogeneousbalance principle. |
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| Keywords: | cubic-quintic nonlinear Schrödinger equation withvariable coefficients homogeneous balance principle solitary wave |
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