Boundary value problem for the KDV equation on a half-line

被引：0

作者：

V. E. Adler

L. T. Habibullin

A. B. Shabat

机构：

[1] Ufa Scientific Center for the Russian Academy of Sciences,Mathematical Institute

[2] Russian Academy of Sciences,L. D. Landau Institute of Theoretical Physics

来源：

Theoretical and Mathematical Physics | 1997年 / 110卷

关键词：

Soliton; Spectral Curve; Integrable Boundary Condition; Symmetry Approach; Inverse Scattering Transform;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The L-A pair corresponding to the boundary value problem with the conditionu|x=0=a for the KdV equation is presented. A broad class of exact solutions to this equation is constructed and the conservation laws are discussed.

引用

页码：78 / 90

页数：12

共 50 条

[41] Positive solutions for semipositone fractional integral boundary value problem on the half-line
Hao, Xinan
Sun, Hui
Liu, Lishan
Wang, Da-Bin
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (04) : 3055 - 3067
[42] Iterative Approximation of Positive Solutions for Fractional Boundary Value Problem on the Half-line
Chamekh, Mourad
Ghanmi, Abdeljabbar
Horrigue, Samah
[J]. FILOMAT, 2018, 32 (18) : 6177 - 6187
[43] Solvability for p-Laplacian boundary value problem at resonance on the half-line
Jiang, Weihua
[J]. BOUNDARY VALUE PROBLEMS, 2013,
[44] A non-autonomous second order boundary value problem on the half-line
Gregory S. Spradlin
[J]. Nonlinear Differential Equations and Applications NoDEA, 2010, 17 : 639 - 645
[45] Existence of Positive Solutions for Multipoint Boundary Value Problem on the Half-Line with Impulses
Jianli Li
Juan J Nieto
[J]. Boundary Value Problems, 2009
[46] Positive solutions for semipositone fractional integral boundary value problem on the half-line
Xinan Hao
Hui Sun
Lishan Liu
Da-Bin Wang
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 3055 - 3067
[47] Successive iteration and positive solutions of a fractional boundary value problem on the half-line
Xie, Wenzhe
Luo, Zhiguo
Xiao, Jing
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[48] Solvability for p-Laplacian boundary value problem at resonance on the half-line
Weihua Jiang
[J]. Boundary Value Problems, 2013
[49] Asymptotics of solutions to the boundary value problem for the Korteweg-de Vries-Burgers equation on a half-line
Hayashi, N
Kaikina, EI
Shishmarev, IA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (02) : 343 - 370
[50] Positive solutions for three-point boundary value problem on the half-line
Tian, Yu
Ge, Weigao
Shan, Wenrui
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (07) : 1029 - 1039

← 1 2 3 4 5 →