SOLUTION OF AN INITIAL BOUNDARY-VALUE PROBLEM FOR COUPLED NONLINEAR-WAVES

被引：137

作者：

LEON, J

LATIFI, A

机构：

[1] Lab. de Phys. Math., Univ. des Sci. and Tech. du Languedoc, Montpellier

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 08期

关键词：

D O I：

10.1088/0305-4470/23/8/013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The authors derive and study a hierarchy of nonlinear coupled evolution equations (among which is the coupled Korteveg-de Vries/Schrodinger equation) for which they prove that a mixed initial-boundary value problem is solvable. They give the method of solution together with the Backlund transformation and establish the infinite set of conserved densities. They finally discuss the applicability of such equations in plasma physics and hydrodynamics.

引用

收藏

页码：1385 / 1403

页数：19

相关论文

共 27 条

[1] COHERENT PULSE-PROPAGATION, A DISPERSIVE, IRREVERSIBLE PHENOMENON [J].

ABLOWITZ, MJ ;

KAUP, DJ ;

NEWELL, AC .

JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (11) :1852-1858

[2]

[Anonymous], 1982, SPECTRAL TRANSFORM S

[3] INTEGRABLE NON-LINEAR EVOLUTIONS IN 2+1 DIMENSIONS WITH NON-ANALYTIC DISPERSION-RELATIONS [J].

BOITI, M ;

LEON, JJP ;

MARTINA, L ;

PEMPINELLI, F .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (18) :3611-3627

[4] SOLITON GENERATION AT RESONANCE AND DENSITY MODIFICATION IN LASER-IRRADIATED PLASMAS [J].

CHEN, HH ;

LIU, CS .

PHYSICAL REVIEW LETTERS, 1977, 39 (18) :1147-1151

[5] NUCLEATION OF CAVITONS IN STRONG LANGMUIR TURBULENCE [J].

DOOLEN, GD ;

DUBOIS, DF ;

ROSE, HA .

PHYSICAL REVIEW LETTERS, 1985, 54 (08) :804-807

[6] METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION [J].

GARDNER, CS ;

GREENE, JM ;

KRUSKAL, MD ;

MIURA, RM .

PHYSICAL REVIEW LETTERS, 1967, 19 (19) :1095-&

[7] STRONG TURBULENCE OF PLASMA-WAVES [J].

GOLDMAN, MV .

REVIEWS OF MODERN PHYSICS, 1984, 56 (04) :709-735

[8] THE SPECTRAL WRONSKIAN TOOL AND THE DELTA-BAR INVESTIGATION OF THE KDV HIERARCHY [J].

JAULENT, M ;

MANNA, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (10) :2338-2342

[9] DELTA-BAR EQUATIONS IN THE THEORY OF INTEGRABLE SYSTEMS [J].

JAULENT, M ;

MANNA, M ;

ALONSO, LM .

INVERSE PROBLEMS, 1988, 4 (01) :123-150

[10] DYNAMICS OF SONIC-LANGMUIR SOLITONS [J].

KARPMAN, VI .

PHYSICA SCRIPTA, 1975, 11 (05) :263-265