000 | 03593nam a22004695i 4500 | ||
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001 | 978-3-540-39823-3 | ||
003 | DE-He213 | ||
005 | 20190213151826.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1986 gw | s |||| 0|eng d | ||
020 |
_a9783540398233 _9978-3-540-39823-3 |
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024 | 7 |
_a10.1007/BFb0076661 _2doi |
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_aPBK _2bicssc |
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_aMAT034000 _2bisacsh |
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_aPBK _2thema |
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_a515 _223 |
100 | 1 |
_aIts, Alexander R. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 4 |
_aThe Isomonodromic Deformation Method in the Theory of Painlevé Equations _h[electronic resource] / _cby Alexander R. Its, Victor Yu. Novokshenov. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1986. |
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300 |
_aCCCXX, 314 p. _bonline resource. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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_aLecture Notes in Mathematics, _x0075-8434 ; _v1191 |
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505 | 0 | _aMonodromy data for the systems of linear ordinary differential equations with rational coefficients -- Isomonodromic deformations of systems of linear ordinary differential equations with rational coefficients -- Isomonodromic deformations of systems (1.9) and (1.26) and painlevé equations of II and III types -- Inverse problem of the monodromy theory for the systems (1.9) and (1.26). Asymptotic analysis of integral equations of the inverse problem -- Asymptotic solution to a direct problem of the monodromy theory for the system (1.9) -- Asymptotic solution to a direct problem of the monodromy theory for the system (1.26) -- The manifold of solutions of painlevé II equation decreasing as ? ? ??. Parametrization of their asymptotics through the monodromy data. Ablowitz-segur connection formulae for real-valued solutions decreasing exponentially as ? ? + ? -- The manifold of solutions to painlevé III equation. The connection formulae for the asymptotics of real-valued solutions to the cauchy problem -- The manifold of solutions to painlevé II equation increasing as ? ? + ?. The expression of their asymptotics through the monodromy data. The connection formulae for pure imaginary solutions -- The movable poles of real-valued solutions to painlevé II equation and the eigenfunctions of anharmonic oscillator -- The movable poles of the solutions of painlevé III equation and their connection with mathifu functions -- Large-time asymptotics of the solution of the cauchy problem for MKdV equation -- The dynamics of electromagnetic impulse in a long laser amplifier -- The scaling limit in two-dimensional ising model -- Quasiclassical mode of the three-dimensional wave collapse. | |
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
700 | 1 |
_aNovokshenov, Victor Yu. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662214459 |
776 | 0 | 8 |
_iPrinted edition: _z9783540164838 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1191 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0076661 |
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912 | _aZDB-2-LNM | ||
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