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 30 条

[21] BOUNDED OR ALMOST PERIODIC-SOLUTION OF NON-LINEAR VIBRATING MEMBRANE EQUATION
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[22] SOLUTION BY SPECTRAL-TRANSFORM METHOD OF A NON-LINEAR EVOLUTION EQUATION INCLUDING AS A SPECIAL CASE CYLINDRICAL KDV EQUATION
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[29] ON PROGRESSIVE WAVE SOLUTION FOR NON-PLANAR KDV EQUATION IN A PLASMA WITH q-NONEXTENSIVE ELECTRONS AND TWO OPPOSITELY CHARGED IONS
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[30] Stability of an alternative solitary-wave solution of an ion-acoustic wave obtained from the MKdV-KdV-ZK equation in magnetized non-thermal plasma consisting of warm adiabatic ions
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