Two-soliton solution to a generalized KP equation with general variable coefficients. (February 2018)

• Record Type: Journal Article
• Authors: Wang, Mingliang; Li, Xiangzheng; Zhang, Jinliang
• Is Part Of: Applied mathematics letters. Volume 76(2018)
• Page Start: 21
• Page End: 27
• Publication Date: 2018-02
• Subjects: Generalized KP equation with general variable coefficients -- Simplified homogeneous balance method -- Nonlinear transformation -- Quadratic homogeneity equation -- Cylindrical KP equation -- Generalized cylindrical KP equation -- Variable coefficient KP equation -- Two-soliton solution; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2017.07.011
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: A nonlinear transformation to a generalized KP equation with general variable coefficients (gvcKP) has been derived by using the simplified homogeneous balance method (SHB). The nonlinear transformation converts gvcKP into a quadratic homogeneity equation to be solved. The quadratic homogeneity equation admits exponential function solutions, thus one-soliton and two-soliton solutions of gvcKP can be obtained by means of the nonlinear transformation derived in the paper. As the special cases of gvcKP, several generalized KP equations with different form and the corresponding results of them are also given.