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Soliton molecules and some novel mixed solutions for the extended Caudrey-Dodd-Gibbon equation
Journal of Geometry and Physics ( IF 1.5 ) Pub Date : 2021-06-16 , DOI: 10.1016/j.geomphys.2021.104309
Hongcai Ma , Yuxin Wang , Aiping Deng

In this paper, we investigate the extended Caudrey–Dodd–Gibbon equation. Using N-soliton solution and a novel velocity resonance condition can generate soliton molecules of the extended Caudrey–Dodd–Gibbon equation. Further, by changing the distance between two solitons in a soliton molecule, each single soliton molecule can transform an asymmetric soliton. Also, we observed the collision between one and two soliton solution with a soliton molecule. Next, according to the N-soliton solutions, several novel types of mixed breather-soliton molecule solution can be generated. Finally, some related pictures that mentioned above are presented.



中文翻译:

孤子分子和扩展 Caudrey-Dodd-Gibbon 方程的一些新混合解

在本文中,我们研究了扩展的 Caudrey-Dodd-Gibbon 方程。使用 N 孤子解和新的速度共振条件可以生成扩展的 Caudrey-Dodd-Gibbon 方程的孤子分子。此外,通过改变孤子分子中两个孤子之间的距离,每个单独的孤子分子都可以转化为一个不对称的孤子。此外,我们观察到一个和两个孤子溶液与一个孤子分子之间的碰撞。接下来,根据N-孤子解,可以生成几种新型的混合呼吸-孤子分子解。最后,展示上面提到的一些相关图片。

更新日期:2021-07-04
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