Self-similar solutions of the modified nonlinear schrodinger equation

Journal Article · Sat Mar 01 04:00:00 EST 1986 · Theor. Math. Phys.; (United States)

OSTI ID:5170339

Kitaev, A V

This paper considers a 2 x 2 matrix linear ordinary differential equation with large parameter t and irregular singular point of fourth order at infinity. The leading order of the monodromy data of this equation is calculated in terms of its coefficients. Isomonodromic deformations of the equation are self-similar solutions of the modified nonlinear Schrodinger equation, and therefore inversion of the expressions obtained for the monodromy data gives the leading term in the time-asymptotic behavior of the self-similar solution. The application of these results to the type IV Painleve equation is considered in detail.

• Research Organization: Institute of Aircraft Instrument Construction, Leningrad
• OSTI ID: 5170339
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 64:3; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTIC FUNCTIONS
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATRICES
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
SCHROEDINGER EQUATION
STOKES LAW
WAVE EQUATIONS