The projective Riccati equation expansion method and variable separation solutions for the nonlinear physical differential equation in physics |
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Authors: | Ma Zheng-Yi |
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Institution: | College of Mathematics and Physics, Zhejiang Lishui University, Lishui 323000, China |
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Abstract: | Using the projective Riccati equation expansion (PREE) method, new
families of variable separation solutions (including solitary wave
solutions, periodic wave solutions and rational function solutions)
with arbitrary functions for two nonlinear physical models are
obtained. Based on one of the variable separation solutions and by
choosing appropriate functions, new types of interactions between
the multi-valued and single-valued solitons, such as a peakon-like
semi-foldon and a peakon, a compacton-like semi-foldon and a
compacton, are investigated. |
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Keywords: | projective Riccati equation nonlinear physical equation variable separation solution soliton |
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