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2-PARAMETER MIURA TRANSFORMATION OF THE BENJAMIN-ONO EQUATION
被引:78
作者
:
BOCK, TL
论文数:
0
引用数:
0
h-index:
0
机构:
Program in Applied Mathematics, Princeton University, Princeton
BOCK, TL
KRUSKAL, MD
论文数:
0
引用数:
0
h-index:
0
机构:
Program in Applied Mathematics, Princeton University, Princeton
KRUSKAL, MD
机构
:
[1]
Program in Applied Mathematics, Princeton University, Princeton
来源
:
PHYSICS LETTERS A
|
1979年
/ 74卷
/ 3-4期
关键词
:
D O I
:
10.1016/0375-9601(79)90762-X
中图分类号
:
O4 [物理学];
学科分类号
:
0702 ;
摘要
:
The Benjamin-Ono equation is shown to admit a two-parameter family of Miura transformations, leading to a proof that the equation has an infinite number of conserved densities. Linearized equations are derived from a special case of the transformation. © 1979.
引用
收藏
页码:173 / 176
页数:4
相关论文
共 10 条
[1]
ABLOWITZ MJ, 1978, STUD APPL MATH, V58, P17
[2]
INTERNAL WAVES OF PERMANENT FORM IN FLUIDS OF GREAT DEPTH
[J].
BENJAMIN, TB
论文数:
0
引用数:
0
h-index:
0
BENJAMIN, TB
.
JOURNAL OF FLUID MECHANICS,
1967,
29
:559
-&
[3]
N-SOLITON SOLUTION OF BENJAMIN-ONO EQUATION
[J].
CASE, KM
论文数:
0
引用数:
0
h-index:
0
CASE, KM
.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA,
1978,
75
(08)
:3562
-3563
[4]
BENJAMIN-ONO-RELATED EQUATIONS AND THEIR SOLUTIONS
[J].
CASE, KM
论文数:
0
引用数:
0
h-index:
0
CASE, KM
.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA,
1979,
76
(01)
:1
-3
[5]
KORTEWEG-DEVRIES EQUATION AND GENERALIZATIONS .6. METHODS FOR EXACT SOLUTION
[J].
GARDNER, CS
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TEXAS, ARLINGTON, TX 76010 USA
GARDNER, CS
;
GREENE, JM
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TEXAS, ARLINGTON, TX 76010 USA
GREENE, JM
;
KRUSKAL, MD
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TEXAS, ARLINGTON, TX 76010 USA
KRUSKAL, MD
;
MIURA, RM
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TEXAS, ARLINGTON, TX 76010 USA
MIURA, RM
.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1974,
27
(01)
:97
-133
[6]
METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION
[J].
GARDNER, CS
论文数:
0
引用数:
0
h-index:
0
GARDNER, CS
;
GREENE, JM
论文数:
0
引用数:
0
h-index:
0
GREENE, JM
;
KRUSKAL, MD
论文数:
0
引用数:
0
h-index:
0
KRUSKAL, MD
;
MIURA, RM
论文数:
0
引用数:
0
h-index:
0
MIURA, RM
.
PHYSICAL REVIEW LETTERS,
1967,
19
(19)
:1095
-&
[7]
HIROTA R, UNPUBLISHED
[8]
INTEGRALS OF NONLINEAR EQUATIONS OF EVOLUTION AND SOLITARY WAVES
[J].
LAX, PD
论文数:
0
引用数:
0
h-index:
0
LAX, PD
.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1968,
21
(05)
:467
-+
[9]
INTERNAL WAVE SOLITONS
[J].
MEISS, JD
论文数:
0
引用数:
0
h-index:
0
MEISS, JD
;
PEREIRA, NR
论文数:
0
引用数:
0
h-index:
0
PEREIRA, NR
.
PHYSICS OF FLUIDS,
1978,
21
(04)
:700
-702
[10]
ALGEBRAIC SOLITARY WAVES IN STRATIFIED FLUIDS
[J].
ONO, H
论文数:
0
引用数:
0
h-index:
0
机构:
OSAKA TECH COLL, DEPT LIBERAL ARTS, NEYAGAWA 572, OSAKA, JAPAN
OSAKA TECH COLL, DEPT LIBERAL ARTS, NEYAGAWA 572, OSAKA, JAPAN
ONO, H
.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,
1975,
39
(04)
:1082
-1091
←
1
→
共 10 条
[1]
ABLOWITZ MJ, 1978, STUD APPL MATH, V58, P17
[2]
INTERNAL WAVES OF PERMANENT FORM IN FLUIDS OF GREAT DEPTH
[J].
BENJAMIN, TB
论文数:
0
引用数:
0
h-index:
0
BENJAMIN, TB
.
JOURNAL OF FLUID MECHANICS,
1967,
29
:559
-&
[3]
N-SOLITON SOLUTION OF BENJAMIN-ONO EQUATION
[J].
CASE, KM
论文数:
0
引用数:
0
h-index:
0
CASE, KM
.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA,
1978,
75
(08)
:3562
-3563
[4]
BENJAMIN-ONO-RELATED EQUATIONS AND THEIR SOLUTIONS
[J].
CASE, KM
论文数:
0
引用数:
0
h-index:
0
CASE, KM
.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA,
1979,
76
(01)
:1
-3
[5]
KORTEWEG-DEVRIES EQUATION AND GENERALIZATIONS .6. METHODS FOR EXACT SOLUTION
[J].
GARDNER, CS
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TEXAS, ARLINGTON, TX 76010 USA
GARDNER, CS
;
GREENE, JM
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TEXAS, ARLINGTON, TX 76010 USA
GREENE, JM
;
KRUSKAL, MD
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TEXAS, ARLINGTON, TX 76010 USA
KRUSKAL, MD
;
MIURA, RM
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TEXAS, ARLINGTON, TX 76010 USA
MIURA, RM
.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1974,
27
(01)
:97
-133
[6]
METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION
[J].
GARDNER, CS
论文数:
0
引用数:
0
h-index:
0
GARDNER, CS
;
GREENE, JM
论文数:
0
引用数:
0
h-index:
0
GREENE, JM
;
KRUSKAL, MD
论文数:
0
引用数:
0
h-index:
0
KRUSKAL, MD
;
MIURA, RM
论文数:
0
引用数:
0
h-index:
0
MIURA, RM
.
PHYSICAL REVIEW LETTERS,
1967,
19
(19)
:1095
-&
[7]
HIROTA R, UNPUBLISHED
[8]
INTEGRALS OF NONLINEAR EQUATIONS OF EVOLUTION AND SOLITARY WAVES
[J].
LAX, PD
论文数:
0
引用数:
0
h-index:
0
LAX, PD
.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1968,
21
(05)
:467
-+
[9]
INTERNAL WAVE SOLITONS
[J].
MEISS, JD
论文数:
0
引用数:
0
h-index:
0
MEISS, JD
;
PEREIRA, NR
论文数:
0
引用数:
0
h-index:
0
PEREIRA, NR
.
PHYSICS OF FLUIDS,
1978,
21
(04)
:700
-702
[10]
ALGEBRAIC SOLITARY WAVES IN STRATIFIED FLUIDS
[J].
ONO, H
论文数:
0
引用数:
0
h-index:
0
机构:
OSAKA TECH COLL, DEPT LIBERAL ARTS, NEYAGAWA 572, OSAKA, JAPAN
OSAKA TECH COLL, DEPT LIBERAL ARTS, NEYAGAWA 572, OSAKA, JAPAN
ONO, H
.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,
1975,
39
(04)
:1082
-1091
←
1
→