Name
Title | ||
|---|---|---|
Multi-breather wave solutions for a generalized (3＋ 1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid |
Abstract | ||
|---|---|---|
Two-layer fluid models are proposed to describe certain nonlinear phenomena in fluid mechanics, thermodynamics and medical sciences. For a generalized(3＋1)-dimensional Yu–Toda–Sasa–Fukuyama equation for the interfacial waves in a two-layer liquid, in which h0 is the constant coefficient of the development term, h1 is the constant coefficient of the dispersion term, h2 and h3 are the constant coefficients of the nonlinear terms, and h4 is the constant coefficient of the linear term. Based on the Pfaffian technique and certain constraint on h3, we obtain the multi-breather solutions in terms of the Gramian. For the one-breather waves, amplitudes are proportional to h1h2, velocity components along the x and z directions for the characteristic lines are proportional to h1h0, and velocity component along the y direction for the characteristic line is proportional to h1h43h02, where x, y and z are the spatial coordinates and t is the temporal coordinate. Interaction between the two-breather waves implies that the two-breather waves can evolve periodically along two straight lines on the x-y and y-z planes, period for the two-breather waves with t is proportional to h0h1, period for the two-breather waves along the y direction is proportional to h43h1, while the two-breather waves are not periodic along the x and z directions. Amplitudes, velocities and widths of the two-breather waves keep unchanged after the interaction between the two-breather waves on the x-y and y-z planes, which means that the interaction is elastic. On the x-z plane, the two-breather waves appear as two parallel solitons at certain angles with the x and z axes. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.aml.2019.05.037 | Applied Mathematics Letters |
Keywords | Field | DocType |
Two-layer liquid,Generalized (3＋1)-dimensional Yu–Toda–Sasa–Fukuyama equation,Breather waves,Solitons,Pfaffian technique,Gram determinant | Soliton,Dispersion (optics),Mathematical analysis,Breather,Constant coefficients,Fluid mechanics,Pfaffian,Amplitude,Mathematics,One-dimensional space | Journal |
Volume | ISSN | Citations |
98 | 0893-9659 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gao-Fu Deng | 1 | 2 | 0.73 |
| Yi-Tian Gao | 2 | 42 | 14.96 |
| Jing-Jing Su | 3 | 6 | 1.67 |
| Cui-Cui Ding | 4 | 3 | 1.52 |