当前位置: X-MOL 学术Phys. Scripta › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Diverse exact analytical solutions and novel interaction solutions for the (2+1)-dimensional Ito equation
Physica Scripta ( IF 2.9 ) Pub Date : 2020-08-03 , DOI: 10.1088/1402-4896/aba71b
Yueyang Feng , Sudao Bilige , Xiaomin Wang

In this paper, we studied a novel form of exact analytical solutions of (2+1)-dimensional Ito equation based on Hirota bilinear method. By using symbolic computation, assorted exact analytical solutions including high-order rational solutions, three-wave solutions, breather solutions and interaction solutions between the above solutions were obtained through choosing the order of terms as well as different basic functions. The exact solutions of (2+1)-dimensional Ito equation on current literatures are extremely enriched. Furthermore, both three-dimensional plots and corresponding contour maps with different determinant values vividly show the movement of waves and the collision phenomena.

中文翻译:

(2 + 1)维Ito方程的各种精确解析解和新颖的相互作用解

在本文中,我们研究了一种基于Hirota双线性方法的(2 + 1)维Ito方程精确解析解的新形式。通过符号计算,通过选择项的顺序和不同的基本函数,得到了包括高阶有理解,三波解,通气解以及上述解之间的相互作用解在内的各种精确解析解。当前文献中(2 + 1)维Ito方程的精确解非常丰富。此外,具有不同行列式值的三维图和相应的轮廓图都生动地显示了波的运动和碰撞现象。
更新日期:2020-08-04
down
wechat
bug