The Kundu-Eckhaus equation and its discretizations

被引：49

作者：

Levi, Decio ^{[1
,2
]}

Scimiterna, Christian ^{[1
]}

机构：

[1] Univ Roma Tre, Dipartimento Ingn Elettron, I-00146 Rome, Italy

[2] Ist Nazl Fis Nucl, Sez Roma Tre, I-00146 Rome, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 46期

关键词：

D O I：

10.1088/1751-8113/42/46/465203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we show that the complex Burgers and the Kundu-Eckhaus equations are related by a Miura transformation. We use this relation to discretize the Kundu-Eckhaus equation.

引用

页数：8

共 13 条

[1]

Ablowitz MJ, 2005, J NONLINEAR MATH PHY, V12, P1

[2]

ABLOWITZ MJ, 1976, STUD APPL MATH, V55, P213

[3]

Bateman H., 1915, Mon. Weather Rev., V43, P163

[4]

Burgers J.M., 1948, Adv. Appl. Mech., V1, P197, DOI DOI 10.1016/S0065-2156(08)70100-5

[5] NONLINEAR EVOLUTION-EQUATIONS, RESCALINGS, MODEL PDES AND THEIR INTEGRABILITY .1. [J].

CALOGERO, F ;

ECKHAUS, W .

INVERSE PROBLEMS, 1987, 3 (02) :229-262

[6] ON A QUASI-LINEAR PARABOLIC EQUATION OCCURRING IN AERODYNAMICS [J].

COLE, JD .

QUARTERLY OF APPLIED MATHEMATICS, 1951, 9 (03) :225-236

[7]

ECKHAUS W, 1986, LECT NOTES PHYS, V246

[8]

FORSYTH A. R., 1906, THEORY DIFFERENTIAL, V6

[9] ASYMPTOTIC THEORY OF PLANE SOLITON SELF-FOCUSING IN 2-DIMENSIONAL WAVE MEDIA [J].

GORSHKOV, KA ;

PELINOVSKY, DE .

PHYSICA D, 1995, 85 (04) :468-484

[10] THE PARTIAL DIFFERENTIAL EQUATION UT+UUX=MU-XX [J].

HOPF, E .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1950, 3 (03) :201-230

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