F-Expansion Method and Its Application for Finding New Exact Solutions to the Kudryashov-Sinelshchikov Equation

[摘要] Based on theF-expansion method, and the extended version ofF-expansionmethod, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. Withthe aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained. When the modulus mof Jacobi elliptic function is driven to the limits 1 and 0, some exactsolutions expressed by hyperbolic function solutions and trigonometric functions can also beobtained.

[学科分类] 应用数学