The constant astigmatism equation. New exact solution

被引：17
作者：
Manganaro, N. [1 ]
Pavlov, M. V. [2 ,3 ,4 ]
机构：
[1] Univ Messina, Dept Math, I-98166 Messina, Italy
[2] Russian Acad Sci, Sector Math Phys, PN Lebedev Phys Inst, Moscow 119991, Russia
[3] Moscow MV Lomonosov State Univ, Lab Geometr Methods Math Phys, Moscow 119991, Russia
[4] Silesian Univ Opava, Math Inst Opava, Opava 74601, Czech Republic
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2014年 / 47卷 / 07期
关键词：
constant astigmatism equation; differential constraints; integrable systems; overdetermined systems; DIFFERENTIAL-CONSTRAINTS;
D O I：
10.1088/1751-8113/47/7/075203
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we present a new solution for the constant astigmatism equation. This solution is parameterized by an arbitrary function of a single variable.
引用
收藏
页数：8
相关论文
共 23 条
[1]  
[Anonymous], 1991, What is Integrability
[2]   Classification of integrable Weingarten surfaces possessing an sl(2)-valued zero curvature representation [J].
Baran, Hynek ;
Marvan, Michal .
NONLINEARITY, 2010, 23 (10) :2577-2597
[3]   On integrability of Weingarten surfaces: a forgotten class [J].
Baran, Hynek ;
Marvan, Michal .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (40)
[4]   Riemann problems and exact solutions to a traffic flow model [J].
Curro, C. ;
Manganaro, N. .
JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (07)
[5]   Differential Constraints and Exact Solution to Riemann Problems for a Traffic Flow Model [J].
Curro, C. ;
Fusco, D. ;
Manganaro, N. .
ACTA APPLICANDAE MATHEMATICAE, 2012, 122 (01) :167-178
[6]   A reduction procedure for generalized Riemann problems with application to nonlinear transmission lines [J].
Curro, C. ;
Fusco, D. ;
Manganaro, N. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (33)
[7]   RIEMANN INVARIANTS-LIKE SOLUTIONS FOR A CLASS RATE-TYPE MATERIALS [J].
FUSCO, D ;
MANGANARO, N .
ACTA MECHANICA, 1994, 105 (1-4) :23-32
[8]   A METHOD FOR DETERMINING EXACT-SOLUTIONS TO A CLASS OF NONLINEAR MODELS BASED ON INTRODUCTION OF DIFFERENTIAL CONSTRAINTS [J].
FUSCO, D ;
MANGANARO, N .
JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (07) :3659-3669
[9]  
Hlavac A, 2011, ARXIV11112027
[10]  
Hlavac A, 2012, ARXIV12060321
123