【摘要】 组合KdV方程是一个非线性波动传播的模型,它的精确解在各种应用中,例如在晶格及流体力学等领域有重要的应用价值。本文利用齐次平衡原则及最近发展起来的F 展开法,求出了组合KdV方程一些精确解,包括孤立子解,双周期解等。更多还原

【Abstract】 The compound KdV equation is a model of propagating of nonlinear wave and the application of its exact solutions are of importance in various fields sach as crystal lattice and hydrodynamics.By using the homogeneous balance principle (HBP) and the F-expansion method proposed recently, some new exact solutions for compound KdV equation,including double periodic wave solutions and solitary wave solutions are obtained.更多还原