Hydrodynamic reductions and solutions of a universal hierarchy

被引：0

作者：

Alonso, LM ^{[1
]}

Shabat, AB

机构：

[1] Univ Complutense Madrid, Dept Fis Teor 2, Madrid, Spain

[2] RAS, LD Landau Theoret Phys Inst, Moscow 117901, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2004年 / 140卷 / 02期

关键词：

hydrodynamic systems; differential reductions; hodograph solutions;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains and analyze their compatibility with previously introduced reductions of differential type.

引用

页码：1073 / 1085

页数：13

共 14 条

[1] Towards a theory of differential constraints of a hydrodynamic hierarchy [J].

Alonso, LM ;

Shabat, AB .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2003, 10 (02) :229-242

[2] Energy-dependent potentials revisited: A universal hierarchy of hydrodynamic type [J].

Martínez Alonso, L. ;

Shabat, A.B. .

Physics Letters, Section A: General, Atomic and Solid State Physics, 2002, 300 (01) :58-64

[3]

ALONSO LM, 1980, J MATH PHYS, V21, P2342, DOI 10.1063/1.524690

[4]

ALONSO LM, NATO SCI SER, V132, P263

[5] COUPLED KDV EQUATIONS WITH MULTI-HAMILTONIAN STRUCTURES [J].

ANTONOWICZ, M ;

FORDY, AP .

PHYSICA D, 1987, 28 (03) :345-357

[6] AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS [J].

CAMASSA, R ;

HOLM, DD .

PHYSICAL REVIEW LETTERS, 1993, 71 (11) :1661-1664

[7]

FERAPONTOV EV, 2003, INTEGRABILITY DIMENS

[8] Reciprocal transformations, Painleve property and solutions of energy-dependent Schrodinger hierarchies [J].

Hone, ANW .

PHYSICS LETTERS A, 1998, 249 (1-2) :46-54

[9] CONNECTION BETWEEN ZAKHAROV-SHABAT AND SCHRODINGER-TYPE INVERSE-SCATTERING TRANSFORMS [J].

JAULENT, M ;

MIODEK, I .

LETTERE AL NUOVO CIMENTO, 1977, 20 (18) :655-660

[10] A METHOD FOR SOLVING THE DISPERSIONLESS KP HIERARCHY AND ITS EXACT-SOLUTIONS .2. [J].

KODAMA, Y ;

GIBBONS, J .

PHYSICS LETTERS A, 1989, 135 (03) :167-170

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