On the Singular Solutions of the Korteweg-de Vries Equation

被引：6

作者：

Pokhozhaev, S. I. ^{[1
]}

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 117901, Russia

来源：

MATHEMATICAL NOTES | 2010年 / 88卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

Korteweg-de Vries equation; singular solution; Cauchy problem; traveling wave; nonlinear capacity; Holder inequality;

D O I：

10.1134/S0001434610110131

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two classes of singular solutions of the KdV equation: singular solutions of the Cauchy problem and singular traveling waves. In both cases, we establish sufficient conditions for their existence.

引用

页码：741 / 747

页数：7

共 50 条

[1] On the singular solutions of the Korteweg-de Vries equation
S. I. Pokhozhaev
Mathematical Notes, 2010, 88 : 741 - 747
[2] On a class of singular solutions to the Korteweg-de Vries equation
S. I. Pohozaev
Doklady Mathematics, 2010, 82 : 936 - 938
[3] On a Class of Singular Solutions to the Korteweg-de Vries Equation
Pohozaev, S. I.
DOKLADY MATHEMATICS, 2010, 82 (03) : 936 - 938
[4] Solutions to the modified Korteweg-de Vries equation
Zhang, Da-Jun
Zhao, Song-Lin
Sun, Ying-Ying
Zhou, Jing
REVIEWS IN MATHEMATICAL PHYSICS, 2014, 26 (07)
[5] Computability of solutions of the Korteweg-de Vries equation
Gay, W
Zhang, BY
Zhong, N
MATHEMATICAL LOGIC QUARTERLY, 2001, 47 (01) : 93 - 110
[6] Quasiperiodic solutions of the Korteweg-de Vries equation
Yu. N. Zaiko
Technical Physics Letters, 2002, 28 : 235 - 236
[7] Primitive solutions of the Korteweg-de Vries equation
Dyachenko, S. A.
Nabelek, P.
Zakharov, D. V.
Zakharov, V. E.
THEORETICAL AND MATHEMATICAL PHYSICS, 2020, 202 (03) : 334 - 343
[8] Complexiton solutions to the Korteweg-de Vries equation
Ma, WX
PHYSICS LETTERS A, 2002, 301 (1-2) : 35 - 44
[9] Quasiperiodic solutions of the Korteweg-de Vries equation
Zaiko, YN
TECHNICAL PHYSICS LETTERS, 2002, 28 (03) : 235 - 236
[10] Accelerating solutions of the Korteweg-de Vries equation
Winkler, Maricarmen A.
Asenjo, Felipe A.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (49)

← 1 2 3 4 5 →