Darboux Transformation and Exact Solution for Novikov Equation

被引：0
|
作者：
Ma, Hongcai [1 ]
Chen, Xiaoyu [2 ]
Deng, Aiping [1 ]
机构：
[1] Donghua Univ, Sch Mathema & Stais, Shanghai 201620, Peoples R China
[2] Donghua Univ, Expt Sch, Shanghai 201620, Peoples R China
来源：
NONLINEAR AND MODERN MATHEMATICAL PHYSICS, NMMP 2022 | 2024年 / 459卷
关键词：
Novikov equation; Darboux transformation; Lax pair; Exact solution; CAUCHY-PROBLEM;
D O I：
10.1007/978-3-031-59539-4_9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the lax pair of Novikov equation is given in 3 x 3 matrices form. Based on the spectral problem and the lax pair of Novikov equation, we construct the Darboux transformation and give the theoretical proof. By selecting the appropriate seed solution and using the obtained Darboux transformation, we can acquire the new exact solution of this equation. Finally, three-dimensional distribution and density plots of the new solution are shown. Exact solutions are depend on the different chosen seed solutions.
引用
收藏
页码：221 / 231
页数：11
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