BILINEARIZATION AND SOLUTIONS OF THE KdV6 EQUATION

被引：17
|
作者：
Ramani, A. [1 ]
Grammaticos, B. [2 ]
Willox, R. [3 ]
机构：
[1] Ecole Polytech, Ctr Phys Theor, CNRS, F-91128 Palaiseau, France
[2] Univ Paris VII Paris XI, CNRS, IMNC, UMR 8165, F-91406 Orsay, France
[3] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
来源：
ANALYSIS AND APPLICATIONS | 2008年 / 6卷 / 04期
关键词：
Integrable evolution equations; KdV; singularity analysis; bilinear formalism; auto-Backlund transformation;
D O I：
10.1142/S0219530508001249
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We examine the recently proposed KdV6 integrable evolution equation. Starting from solutions suggested by singularity analysis and using the auto-Backlund transformation, we construct solutions of the KdV6 which involve one arbitrary function of time. Next, we proceed to bilinearize the equation and derive a new, simpler, auto-Backlund transformation. Starting from the solutions of the KdV equation we construct those of the KdV6 in the form of M kinks and N poles and which indeed involve an arbitrary function of time.
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页码：401 / 412
页数：12
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