Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-02-24 , DOI: 10.1016/j.aml.2020.106301 Han-Dong Guo , Tie-Cheng Xia , Bei-Bei Hu
With the aid of the direct bilinear method, the formula of -soliton solution to the generalized (3 + 1)-dimensional Yu–Toda–Sasa–Fukuyama (gYTSF) equation is succinctly obtained. By means of long-wave limit method on -soliton solutions under special parameter constraints, -order lumps can be successfully constructed. Furthermore, the propagation orbit, velocity and extremum of the 1-order lump solutions on plane are studied in detail. Finally, we investigate three types of hybrid solutions, which describe interaction between breathers and solitons, or between lumps and solitons or breathers. These collisions are elastic, which do not lead any changes of amplitudes, velocities and shapes of the solitons, breathers and lumps after interaction.
中文翻译:
(3 +1)维广义Yu–Toda–Sasa–Fukuyama方程的丰富解的动力学
借助直接双线性方法,公式 简洁地获得了广义(3 +1)维Yu-Toda-Sasa-Fukuyama(gYTSF)方程的孤子解。通过长波极限法特殊参数约束下的孤子解, 阶团块可以成功构建。此外,一阶整块解的传播轨道,速度和极值飞机进行了详细研究。最后,我们研究了三种混合解决方案,它们描述了呼吸器和孤子之间,或块体与孤子或呼吸器之间的相互作用。这些碰撞是弹性的,相互作用后不会导致孤子,呼吸器和结块的振幅,速度和形状发生任何变化。