Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium

作者：Wazwaz, Abdul-Majid; Osman, M. S.^*

来源：Computers & Mathematics with Applications, 2018, 76(2): 276-283.

DOI：10.1016/j.camwa.2018.04.018

• 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

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.

• 出版日期2018-7-15