NON-LINEAR PARTIAL DIFFERENCE EQUATIONS .5. NON-LINEAR EQUATIONS REDUCIBLE TO LINEAR EQUATIONS

被引：110

作者：

HIROTA, R

机构：

[1] Department of Applied Mathematics, Faculty of Engineering, Hiroshima University, Hiroshima

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1979年 / 46卷 / 01期

关键词：

D O I：

10.1143/JPSJ.46.312

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Difference analogues of the nonlinear partial differential equations that can be transformed into the linear equations are obtained, and exact solutions to the difference equations are presented. The nonlinear differential equations concerned are Liouville's equation, Two-Wave interaction, the Riccati equation and the Burgers equation. © 1979, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.

引用

页码：312 / 319

页数：8

共 8 条

[1] NON-LINEAR PARTIAL DIFFERENCE EQUATIONS .4. BACKLUND TRANSFORMATION FOR DISCRETE-TIME TODA EQUATION [J].

HIROTA, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1978, 45 (01) :321-332

[2] NON-LINEAR PARTIAL DIFFERENCE EQUATIONS .2. DISCRETE-TIME TODA EQUATION [J].

HIROTA, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1977, 43 (06) :2074-2078

[3] NONLINEAR PARTIAL DIFFERENCE EQUATIONS .1. DIFFERENCE ANALOG OF KORTEWEG-DEVRIES EQUATION [J].

HIROTA, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1977, 43 (04) :1424-1433

[4] NON-LINEAR PARTIAL DIFFERENCE EQUATIONS 3 - DISCRETE SINE-GORDON EQUATION [J].

HIROTA, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1977, 43 (06) :2079-2086

[5]

HIROTA R, 1976, LECT NOTES MATH, P515

[6] THE PARTIAL DIFFERENTIAL EQUATION UT+UUX=MU-XX [J].

HOPF, E .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1950, 3 (03) :201-230

[7]

KNOPP K, 1922, THEORIE ANWENDING UN, P474

[8]

LAMB GL, 1976, LECT NOTES MATH, P515

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