Pseudo-differential operators and generalized lax equations in symbolic computation

被引：0

作者：

Jia Yi-Feng ^{[1
]}

Chen Yu-Fu ^{[2
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100037, Peoples R China

[2] Grad Univ, Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2008年 / 49卷 / 05期

关键词：

pseudo-differential operators; generalized Lax equation; Zakharov-Shabat equation; integral systems; hierarchy; characteristic chain;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the pseudo-differential operators and the generalized Lax equations in integrable systems are implemented in symbolic software Mathematica. A great deal of differential polynomials which appear in the procedure are dealt with by differential characteristic chain method. Using the program, several classical examples are given.

引用

页码：1139 / 1144

页数：6

共 50 条

[1] Pseudo-differential Operators and Generalized Lax Equations in Symbolic Computation
JIA Yi-Feng~(1
[J]. Communications in Theoretical Physics, 2008, 49 (05) : 1139 - 1144
[2] Computation of pseudo-differential operators
Bao, G
Symes, WW
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1996, 17 (02): : 416 - 429
[3] On Discrete Pseudo-Differential Operators and Equations
Vasilyev, Vladimir
[J]. FILOMAT, 2018, 32 (03) : 975 - 984
[4] Pseudo-differential operators in the generalized weinstein setting
Ben Mohamed, Hassen
Bettaibi, Youssef
[J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (07) : 3345 - 3361
[5] Symbolic calculus of pseudo-differential operators and curvature of manifolds
Iwasaki, Chisato
[J]. Modern Trends in Pseudo-Differential Operators, 2007, 172 : 51 - 66
[6] Pseudo-differential operators in the generalized weinstein setting
Hassen Ben Mohamed
Youssef Bettaibi
[J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 3345 - 3361
[7] On some pseudo-differential equations and transmutation operators
Vasilyev, Vladimir
[J]. APPLIED MATHEMATICS, COMPUTATIONAL SCIENCE AND MECHANICS: CURRENT PROBLEMS, 2020, 1479
[8] Difference equations and pseudo-differential operators on Zn
Botchway, Linda N. A.
Kibiti, P. Gael
Ruzhansky, Michael
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (11)
[9] A symbolic calculus for pseudo-differential operators generating Feller semigroups
Hoh, W
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 325 (10): : 1121 - 1124
[10] PSEUDO-DIFFERENTIAL OPERATORS
HORMANDE.L
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1965, 18 (03) : 501 - &

← 1 2 3 4 5 →