Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 76, Issue 2, Pages 276-283Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.04.018
Keywords
The generalized unified method; Multi-wave polynomial solutions; The (3+1)-dimensional Yu-Toda-Sasa-Fukuyama (YTSF) equation with variable coefficients; Two-layer-liquid medium
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In this work, we investigate the behavior of mixed wave solutions in two-layer-liquid with dispersive waveguide. These combined multi-wave solutions were obtained in polynomial types for the (3 + 1)-dimensional Yu-Toda-Sasa-Fukuyama (YTSF) equation with variable coefficients. By virtue of the generalized unified method and symbolic computations, we formally derive polynomial solutions for this equation. The obtained solutions include multi-soliton solutions, multi-periodic solutions, and multi-elliptic solutions. Furthermore, the physical insight and the movement role of the waves in the two-layers are discussed and analyzed graphically for different selections of the arbitrary functions of the obtained solutions. (C) 2018 Elsevier Ltd. All rights reserved.
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