Nonautonomous mixed mKdV-sinh-Gordon hierarchy

被引：6

作者：

Gomes, J. F. ^{[1
]}

de Melo, G. R. ^{[1
]}

Ymai, L. H. ^{[1
]}

Zimerman, A. H. ^{[1
]}

机构：

[1] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 39期

基金：

巴西圣保罗研究基金会;

关键词：

NONLINEAR-WAVE PROPAGATION; ANHARMONIC CRYSTAL; TAU-FUNCTIONS; TRANSFORMATIONS;

D O I：

10.1088/1751-8113/43/39/395203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The construction of a nonautonomous mixed mKdV/sine-Gordon model is proposed by employing an infinite-dimensional affine Lie algebraic structure within the zero-curvature representation. A systematic construction of soliton solutions is provided by an adaptation of the dressing method which takes into account arbitrary time-dependent functions. A particular choice of those arbitrary functions provides an interesting solution describing the transition of a pure mKdV system into a pure sine-Gordon soliton.

引用

页数：9

共 11 条

[1] AFFINE SOLITONS - A RELATION BETWEEN TAU-FUNCTIONS, DRESSING AND BACKLUND-TRANSFORMATIONS [J].

BABELON, O ;

BERNARD, D .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1993, 8 (03) :507-543

[2] Tau-functions and dressing transformations for zero-curvature affine integrable equations [J].

Ferreira, LA ;

Miramontes, JL ;

Guillen, JS .

JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (02) :882-901

[3] A class of mixed integrable models [J].

Gomes, J. F. ;

de Melo, G. R. ;

Zimerman, A. H. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (27)

[4] EFFECT OF WEAK DISLOCATION POTENTIAL ON NONLINEAR-WAVE PROPAGATION IN ANHARMONIC CRYSTAL [J].

KONNO, K ;

KAMEYAMA, W ;

SANUKI, H .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1974, 37 (01) :171-176

[5] Nonholonomic deformation of KdV and mKdV equations and their symmetries, hierarchies and integrability [J].

Kundu, Anjan ;

Sahadevan, R. ;

Nalinidevi, L. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (11)

[6] Integrable nonautonomous nonlinear Schrodinger equations are equivalent to the standard autonomous equation [J].

Kundu, Anjan .

PHYSICAL REVIEW E, 2009, 79 (01)

[7] Models for optical solitons in the two-cycle regime [J].

Leblond, H ;

Sanchez, F .

PHYSICAL REVIEW A, 2003, 67 (01) :8

[8] Few-optical-cycle solitons: Modified Korteweg-de Vries sine-Gordon equation versus other non-slowly-varying-envelope-approximation models [J].

Leblond, H. ;

Mihalache, D. .

PHYSICAL REVIEW A, 2009, 79 (06)

[9] Few-cycle nonlinear optics of multicomponent media [J].

Leblond, Herve ;

Sazonov, S. V. ;

Mel'nikov, I. V. ;

Mihalache, D. ;

Sanchez, F. .

PHYSICAL REVIEW A, 2006, 74 (06)

[10] Parametrically controlling solitary wave dynamics in the modified Korteweg-de Vries equation [J].

Pradhan, Kallol ;

Panigrahi, Prasanta K. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (20) :L343-L348

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