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Matveev V.B., Salle M.A. — Darboux Transformation and Solutions
Matveev V.B., Salle M.A. — Darboux Transformation and Solutions

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Название: Darboux Transformation and Solutions

Авторы: Matveev V.B., Salle M.A.

Язык: en

Рубрика: Физика/Динамические системы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1991

Количество страниц: 128

Добавлена в каталог: 21.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\overline{\delta}$-problem      30
Airy, equations      46
Airy, functions      46 47
Background solution      41 55
Baker — Akbiezer functions      37
Benjamin — Ono equation      4 68 71 73 75
Bessel functions      16 83
Binary Darboux transformation      3 19 27 35 47 100
BKcklund transformation      51 88 91
Bloch, equation      59
Bloch, solution      14
Bose gas      51
Boussinesq equation      3 43
Breather      65 90
Burgers equation (BE)      73 74
Burgers equation (BE), lattice version of BE      85
Cauchy problem      3
Crum, formula      14 15
Crum, theorem      9 10 12 16
Cylindrical KdV equation      22 47
Darboux transformation for ${V}_{\xi} = {U}_{\eta} = [V,U]/2$      49
Darboux transformation for ${\partial}_{p}{\partial}_{q}\psi+ u\psi = 0$      27
Darboux transformation for ${\Phi}_{\xi\eta} = i[{\Phi}_{\xi},{\Phi}_{\eta}]$      49
Darboux transformation for Benjamin — Ono equation      4 75
Darboux transformation for Bloch equations      55
Darboux transformation for Boussinesque equation      3 44
Darboux transformation for cylindrical KdV equation      3 47 48
Darboux transformation for Davey — Stuartson equation      98
Darboux transformation for discrete nonabelian version of KdV      88
Darboux transformation for discrete version of KdV      84
Darboux transformation for Johnson equation      3 46
Darboux transformation for Kadomtsev — Petviashvili equation      2 3 33 37
Darboux transformation for KdV equation      1 3 31 37
Darboux transformation for KdV type equation      72
Darboux transformation for lattice equations      23
Darboux transformation for lattice Silin — Tikhonchuk equation      94
Darboux transformation for linear matrix equations      18
Darboux transformation for linear systems      3 5 17
Darboux transformation for nonlinear filter equations      18
Darboux transformation for nonlinear Schroedinger equation      3 52
Darboux transformation for nonlocal KdV      69
Darboux transformation for nonstationary Schroedinger equation      16
Darboux transformation for reduced Maxwell — Bloch equations      4 65
Darboux transformation for second harmonic generation equation      67
Darboux transformation for self-induced transparency equation      4 61
Darboux transformation for sine-Gordon equation (SO)      89
Darboux transformation for sine-Gordon equation (SO), nonabelian SO      91
Darboux transformation for Sturm — Liouville equation      78
Darboux transformation for Toda lattice (TL)      4 78 79 82 84
Darboux transformation for Toda lattice (TL), nonabelian TL      87
Darboux transformation for two dimensional (2D) TL      4 78—81 83 89
Darboux transformation for Veselov — Novikov equation      103
Darboux, dressing      33 37 41 47 57 59 64 65 77 79
Darboux, theorem      1 7
Darboux, transformation, inverse      24 25
Davey — Stewartson equation (DS)      4 97 102
Davey — Stewartson equation (DS), extended DS      98
Differential-difference equations      7
Dirac operators      15
Discrete KdV equation      84
Exulton      53 63
Factorization method      26
Gelfand — Levitan — Marchenko equation      105
Hamiltonian      25 26
Hamiltonian function      104
Hamiltonian interpretation      4 97
Hamiltonian, multidimensional Hamiltonian      25 26
harmonic oscillator      15
Hartree — Fock equation      51
Hermite polynomials      15
Hopf — Kowl ansatz      74
Inverse scattering, method      51
Inverse scattering, transformation      4 77 102
Johnson equation      45 47
Josephson junction      78 88
Jost solution      10—13
Kadomtsev — Petviashvili equation      2 17 30—36 39 40 43 45—47 78 79 81 107
Kaup equation      75
KdV equation      3 4 17 29—36 40—43 47 50 70 104 107
KdV type equation      72
Lax representation      31
Liouville, equation      68
Liouville, formula      3 21
Lump      3 30 35 37
Manakov triad      72
Neumann function      83
Nonabelian version of KdV      88
Nonlinear filter equation      92
Nonlocal KdV equation      68 69
Novikov — Veselov equation      97 102
Phase shift      39 43 57 106 107
Reduced Maxwell — Bloch equation      4 49 59 65
Reflection coefficients      11
Reflectionless potential      3 11
Riemarm problem      30
Schroedinger equation (SE)      1 14—16 21 24 97 104
Schroedinger equation (SE), discrete nonlinear SE      92
Schroedinger equation (SE), discrete nonlinear SE, system, discrete nonlinear      51
Schroedinger equation (SE), matrix SE      25 26
Schroedinger equation (SE), nonlinear SE      4 49 51 53—57 97 102
Schroedinger equation (SE), nonstationary SE      3 16
Schroedinger equation (SE), operator      12—15 38
Schroedinger equation (SE), radial SE      16
Second harmonic equation      67
Self-induced transparency      see “SIT”
Silin — Tikhonchuk equation      94
Silin — Tikhonchuk equation, discrete version      94
Sine-Gordon equation (SO)      4 49 61 64 77 78 89 91 104 107
Sine-Gordon equation (SO), nonabelian SO      91
Sinh-Gordon equation      77
SIT      see “Self-induced transparency”
SIT equation      4 49 59—62
Sturm — Liouville equation      1 2 7—9 69
Sturm — Liouville problem with Dirichlet boundary conditions      14
Superalgebra      25
Supercharge      25 26
Supersymmetry      24 26
Toda lattice equation (TDL)      4 24 77 104
Toda lattice equation (TDL), nonabelian      77 86
Toda lattice equation (TDL), two dimensional (2D)      4 24 77 91 105 107
Transmission coefficients      11 12
Veselov — Novikov equation      4
Volterra system      84
Zakharov — Shabat method      4 35 105 106
Zakharov — Shabat representation      33 51
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