Journal
APPLIED MATHEMATICS LETTERS
Volume 76, Issue -, Pages 21-27Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.07.011
Keywords
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
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Funding
- National Natural Science Foundation of China [11301153, 11601225]
- Science and Technology Innovation Platform of Henan University of Science and Technology [2015XPT001]
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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. (C) 2017 Elsevier Ltd. All rights reserved.
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