An example of non-decreasing solution for the KdV equation posed on a bounded interval

被引：8

作者：

Doronin, Gleb Germanovitch ^{[1
]}

Natali, Fabio M. ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 05期

关键词：

DE-VRIES EQUATION; CONTROLLABILITY;

D O I：

10.1016/j.crma.2014.02.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An initial-boundary value problem for the KdV equation posed on a bounded interval is considered. The theory of Jacobi elliptic functions is used to obtain a new kind of stationary waves which are spatially periodic with a period equal to an interval length. The properties of those solutions are studied. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：421 / 424

页数：4

共 12 条

[1] A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain [J].

Bona, JL ;

Sun, SM ;

Zhang, BY .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2003, 28 (7-8) :1391-1436

[2]

Byrd P.F., 1971, HDB ELLIPTIC INTEGRA

[3] Exact controllability of a nonlinear korteweg de vries equation on a critical spatial domain [J].

Cerpa, Eduardo .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2007, 46 (03) :877-899

[4] Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain [J].

Cerpa, Eduardo ;

Crepeau, Emmanuelle .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2009, 26 (02) :457-475

[5] PERIODIC TRAVELING-WAVE SOLUTIONS OF NONLINEAR DISPERSIVE EVOLUTION EQUATIONS [J].

Chen, Hongqiu ;

Bona, Jerry L. .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (11-12) :4841-4873

[6]

Coron JM, 2004, J EUR MATH SOC, V6, P367

[7]

Faminskii AV, 2010, ELECTRON J DIFFER EQ

[8]

Goubet O., 2007, ADV DIFFERENTIAL EQU, V12, P221

[9] WEAK NONLINEAR DISPERSIVE WAVES - DISCUSSION CENTERED AROUND KORTEWEG-DE VRIES EQUATION [J].

JEFFREY, A ;

KAKUTANI, T .

SIAM REVIEW, 1972, 14 (04) :582-+

[10]

Menzala GP, 2002, Q APPL MATH, V60, P111

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