【摘 要】
:
The cubic-quintic nonlinear Schr(o)dinger equation (CQNLS) plays important parts in the optical fiber and the nuclear hydrodynamics. By using the homogeneous ba
【机 构】
:
Department of Mathematics and Physics
【基金项目】
:
河南省自然科学基金;the Science Foundation of Henan University of Science and Technology
论文部分内容阅读
The cubic-quintic nonlinear Schr(o)dinger 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 solitary waves, and trigonometric traveling waves for the cubic-quintic nonlinear Schr(o)dinger equation with variable coefficients (vCQNLS) are derived with the aid of a set of subsidiary high-order ordinary differential equations (sub-equations for short). The method used in this paper might help one to derive the exact solutions for the other high-order nonlinear evolution equations, and shows the new application of the homogeneous balance principle.
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