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
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 50 条
  • [1] EXACT SOLUTION TO THE COLEBROOK EQUATION.
    Chen, Hsi-Jen
    1600, (94):
  • [2] More exact solutions of the constant astigmatism equation
    Hlavac, Adam
    JOURNAL OF GEOMETRY AND PHYSICS, 2018, 123 : 209 - 220
  • [3] New exact solutions to a new Hamiltonian amplitude equation. II
    Peng, YZ
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2004, 73 (05) : 1156 - 1158
  • [4] NEW EXACT SOLUTIONS OF THE DIRAC EQUATION. XII.
    Bagrov, V.G.
    Noskov, M.D.
    Shapovalov, V.N.
    Soviet physics journal, 1985, 28 (01): : 70 - 74
  • [5] EXACT SOLUTION TO THE ANTISYMMETRIC, CONSTANT FORCE OSCILLATOR EQUATION
    LIPSCOMB, T
    MICKENS, RE
    JOURNAL OF SOUND AND VIBRATION, 1994, 169 (01) : 138 - 140
  • [6] Assessment of the solution to the Pell equation.
    Perron, O
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1914, 144 (1/4): : 71 - 73
  • [7] BOUNDS FOR THE SOLUTION OF REYNOLDS EQUATION.
    Rohde, Steve M.
    1973, 95 Ser F (01): : 102 - 104
  • [8] The graphic solution to the Kepler equation.
    Humbert, P
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1941, 213 : 343 - 343
  • [9] A NEW EXACT SOLUTION OF THE STOKES EQUATION
    曾于
    吴望一
    Chinese Science Bulletin, 1990, (14) : 1172 - 1176
  • [10] A NEW EXACT SOLUTION OF THE STOKES EQUATION
    ZENG, Y
    WU, WY
    CHINESE SCIENCE BULLETIN, 1990, 35 (14): : 1172 - 1176