On the Cauchy problem for the modified Korteweg-de Vries equation with steplike finite-gap initial data

Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena - Contemporary Mathematics ◽

10.1090/conm/526/10380 ◽

2010 ◽

pp. 151-158 ◽

Author(s):

Iryna Egorova ◽

Gerald Teschl

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Vries Equation ◽

De Vries ◽

The Cauchy Problem

Download Full-text

ASYMPTOTICS OF THE SOLUTION OF THE CAUCHY PROBLEM FOR THE KORTEWEG-de VRIES EQUATION WITH INITIAL DATA OF STEP TYPE

Mathematics of the USSR-Sbornik ◽

10.1070/sm1976v028n02abeh001649 ◽

1976 ◽

Vol 28 (2) ◽

pp. 229-248 ◽

Author(s):

E J Hruslov

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Vries Equation ◽

De Vries ◽

The Cauchy Problem ◽

Download Full-text

The Cauchy Problem for the Korteweg–De Vries Equation with Measures as Initial Data

SIAM Journal on Mathematical Analysis ◽

10.1137/0520041 ◽

1989 ◽

Vol 20 (3) ◽

pp. 582-588 ◽

Author(s):

Yoshio Tsutsumi

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Vries Equation ◽

De Vries ◽

The Cauchy Problem

Download Full-text

On the Cauchy problem for the Korteweg–de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations

Nonlinearity ◽

10.1088/0951-7715/22/6/009 ◽

2009 ◽

Vol 22 (6) ◽

pp. 1431-1457 ◽

Author(s):

Iryna Egorova ◽

Katrin Grunert ◽

Gerald Teschl

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Vries Equation ◽

De Vries ◽

The Cauchy Problem

Download Full-text

ON SOLUTION OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION WITH INITIAL DATA THE SUM OF A PERIODIC AND A RAPIDLY DECREASING FUNCTION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1989v063n01abeh003272 ◽

1989 ◽

Vol 63 (1) ◽

pp. 257-265 ◽

Author(s):

N E Firsova

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Vries Equation ◽

De Vries ◽

The Cauchy Problem

Download Full-text

The Cauchy problem for the Korteweg-de Vries equation when the initial data are irregular

Russian Mathematical Surveys ◽

10.1070/rm1981v036n03abeh004257 ◽

1981 ◽

Vol 36 (3) ◽

pp. 248-249

Author(s):

A V Faminskii

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Vries Equation ◽

De Vries ◽

The Cauchy Problem

Download Full-text

Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients

Ukrainian Mathematical Journal ◽

10.1007/s11253-007-0008-1 ◽

2007 ◽

Vol 59 (1) ◽

pp. 126-139 ◽

Author(s):

V. H. Samoilenko ◽

Yu. I. Samoilenko

Keyword(s):

Cauchy Problem ◽

Vries Equation ◽

Variable Coefficients ◽

Singularly Perturbed ◽

Asymptotic Solutions ◽

De Vries ◽

The Cauchy Problem

Download Full-text

The Cauchy problem for the generalized Korteweg-de-Vries equation

Integrable Systems and Applications - Lecture Notes in Physics ◽

10.1007/bfb0035668 ◽

2006 ◽

pp. 127-141

Author(s):

J. Ginibre

Keyword(s):

Cauchy Problem ◽

Vries Equation ◽

De Vries ◽

The Cauchy Problem

Download Full-text

GENERALIZED SOLUTIONS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1984v048n02abeh002682 ◽

1984 ◽

Vol 48 (2) ◽

pp. 391-421 ◽

Author(s):

S N Kruzhkov ◽

A V Faminskiĭ

Keyword(s):

Cauchy Problem ◽

Vries Equation ◽

Generalized Solutions ◽

De Vries ◽

The Cauchy Problem

Download Full-text

Cauchy problem for modified Korteweg-de Vries equation with piecewise-type initial data

Siberian Mathematical Journal ◽

10.1007/bf00968683 ◽

1985 ◽

Vol 25 (5) ◽

pp. 710-719

Author(s):

E. P. Zhidkov ◽

K. P. Kirchev

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Vries Equation ◽

Download Full-text

On asymptotics of the solution of the Cauchy problem for the modified Korteweg-de Vries equation

Wave Propagation. Scattering Theory - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/157/13 ◽

1993 ◽

pp. 215-225

Author(s):

A. R. Its

Keyword(s):

Cauchy Problem ◽

Vries Equation ◽

De Vries ◽

The Cauchy Problem

Download Full-text