Exact accelerating solitons in nonholonomic deformation of the KdV equation with a two-fold integrable hierarchy

被引：34

作者：

Kundu, Anjan ^{[1
,2
]}

机构：

[1] Saha Inst Nucl Phys Calcutta, Theory Grp, Kolkata, W Bengal, India

[2] Saha Inst Nucl Phys Calcutta, CAMCS, Kolkata, W Bengal, India

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2008年 / 41卷 / 49期

关键词：

D O I：

10.1088/1751-8113/41/49/495201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The recently proposed nonholonomic deformation of the KdV equation is solved through the inverse scattering method by constructing an AKNS-type Lax pair. Exact N-soliton solutions are found for the basic field and the deforming function showing an unusual accelerated (decelerated) motion. A two-fold integrable hierarchy is revealed, one with the usual higher order dispersion and the other with novel higher nonholonomic deformations.

引用

页数：7

共 11 条

[1]

ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249

[2]

Ablowitz MJ., 1981, SOLITONS INVERSE SCA, V4

[3]

FUFAEV NA, 2006, PMM-J APPL MATH MEC, V70, P593

[4]

KARASUKALKANLI KA, 2007, ARXIV07083247

[5] Mechanical systems with nonholonomic constraints [J].

Krupkova, O .

JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (10) :5098-5126

[6]

KUNDU A, 2007, ARXIV07110878

[7] KdV6: An integrable system [J].

Kupershmidt, Boris A. .

PHYSICS LETTERS A, 2008, 372 (15) :2634-2639

[8]

Novikov SP., 1984, Theory of Solitons. The Inverse Scattering Method

[9]

VACARU S, 2007, ARXIV07071519

[10]

VACARU S, 2007, ARXIV07071669

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