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

[1] INTERVAL FUNCTIONS AND NON-DECREASING FUNCTIONS
APPLING, WDL
CANADIAN JOURNAL OF MATHEMATICS, 1963, 15 (04): : 752 - &
[2] Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint
Akagi, Goro
Melchionna, Stefano
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2019, 26 (02):
[3] TIME ASYMPTOTICS OF THE CAUCHY-PROBLEM SOLUTION FOR THE KORTEWEG-DEVRIES MODIFIED EQUATION WITH NON-DECREASING INITIAL DATA
KOTLYAROV, VP
KHRUSLOV, EY
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1986, (10): : 60 - 63
[4] Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint
Goro Akagi
Stefano Melchionna
Nonlinear Differential Equations and Applications NoDEA, 2019, 26
[5] UNIFORM APPROXIMATION OF A SOLUTION WITH BOUNDED VARIATION OF NON-CORRECTLY POSED PROBLEMS
GONCHARSKII, AV
STEPANOV, VV
DOKLADY AKADEMII NAUK SSSR, 1979, 248 (01): : 20 - 22
[6] Geometrical interpretation and approximate solution of non-linear KdV equation
Bektas, M
Inc, M
Cherruault, Y
KYBERNETES, 2005, 34 (7-8) : 941 - 950
[7] ASYMPTOTICAL SOLUTIONS OF THE CAUCHY-PROBLEM FOR THE KORTEWEGDE FRIES EQUATION WITH NON-DECREASING INITIAL DATA OF A SPECIAL KIND
ERMAKOVA, VD
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1982, (07): : 3 - 6
[8] A pseudo-spectral method for a non-local KdV-Burgers equation posed on R
de la Hoz, Francisco
Cuesta, Carlota M.
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 311 : 45 - 61
[9] Non-homogeneous boundary value problems of the Kawahara equation posed on a finite interval
Sriskandasingam, Mayuran
Sun, Shu-Ming
Zhang, Bing-Yu
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, 227
[10] Non-homogeneous boundary value problems of the fifth-order KdV equations on a bounded interval
Zhao, Xiangqing
Zhang, Bing-Yu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 470 (01) : 251 - 278

← 1 2 3 →