On the inverse scattering transform of a nonlinear evolution equation with 2 + 1 dimensions related to nonstrict hyperbolic systems

Nonlinearity ◽

10.1088/0951-7715/25/7/1967 ◽

2012 ◽

Vol 25 (7) ◽

pp. 1967-1979 ◽

Author(s):

Nizameddin Sh Iskenderov ◽

Mansur I Ismailov

Keyword(s):

Evolution Equation ◽

Inverse Scattering ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Hyperbolic Systems ◽

Inverse Scattering Transform ◽

Scattering Transform

Download Full-text

The singular solutions of a nonlinear evolution equation taking continuous part of the spectral data into account in inverse scattering method

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2012.02.019 ◽

2012 ◽

Vol 45 (6) ◽

pp. 846-852 ◽

Author(s):

V.O. Vakhnenko ◽

E.J. Parkes

Keyword(s):

Evolution Equation ◽

Spectral Data ◽

Inverse Scattering ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Inverse Scattering Method ◽

Singular Solutions ◽

Scattering Method ◽

Continuous Part

Download Full-text

Inverse scattering transform, inverse data and nonlinear evolution equations in multidimensions

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(87)90145-x ◽

1987 ◽

Vol 28 (1-2) ◽

pp. 223

Author(s):

A.S. Fokas

Keyword(s):

Inverse Scattering ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Inverse Scattering Transform ◽

Nonlinear Evolution Equations ◽

Scattering Transform

Download Full-text

Inverse scattering transform numerical schemes for nonlinear evolution equations and the method of lines

Applied Numerical Mathematics ◽

10.1016/0168-9274(95)00125-5 ◽

1996 ◽

Vol 20 (1-2) ◽

pp. 181-187 ◽

Author(s):

Thiab R. Taha

Keyword(s):

Inverse Scattering ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Method Of Lines ◽

Inverse Scattering Transform ◽

Nonlinear Evolution Equations ◽

Numerical Schemes ◽

Scattering Transform ◽

The Method Of Lines

Download Full-text

Comments on the inverse scattering transform and related nonlinear evolution equations

Nonlinear Phenomena - Lecture Notes in Physics ◽

10.1007/3-540-12730-5_1 ◽

2008 ◽

pp. 3-24 ◽

Author(s):

Mark J. Ablowitz ◽

Athanassios S. Fokas

Keyword(s):

Inverse Scattering ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Inverse Scattering Transform ◽

Nonlinear Evolution Equations ◽

Scattering Transform

Download Full-text

Remarks on Nonlinear Evolution Equations and the Inverse Scattering Transform

Nonlinear Phenomena in Physics and Biology ◽

10.1007/978-1-4684-4106-2_3 ◽

1981 ◽

pp. 83-94

Author(s):

Mark J. Ablowitz

Keyword(s):

Inverse Scattering ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Inverse Scattering Transform ◽

Nonlinear Evolution Equations ◽

Scattering Transform

Download Full-text

Extension of inverse scattering method to nonlinear evolution equation in nonuniform medium

Journal of Mathematical Physics ◽

10.1063/1.524773 ◽

1981 ◽

Vol 22 (10) ◽

pp. 2180-2183 ◽

Author(s):

M. R. Gupta ◽

Jayanti Ray

Keyword(s):

Evolution Equation ◽

Inverse Scattering ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Inverse Scattering Method ◽

Scattering Method ◽

Nonuniform Medium

Download Full-text

Inverse Scattering Method for a New Integrable Nonlinear Evolution Equation under Nonvanishing Boundary Conditions

Journal of the Physical Society of Japan ◽

10.1143/jpsj.51.2312 ◽

1982 ◽

Vol 51 (7) ◽

pp. 2312-2317 ◽

Author(s):

J. Choudhury

Keyword(s):

Evolution Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Inverse Scattering Method ◽

Scattering Method ◽

Integrable Nonlinear Evolution Equation

Download Full-text

Forced Nonlinear Evolution Equations and the Inverse Scattering Transform

Studies in Applied Mathematics ◽

10.1002/sapm1989803253 ◽

1989 ◽

Vol 80 (3) ◽

pp. 253-272 ◽

Author(s):

A. S. Fokas ◽

M. J. Ablowitz

Keyword(s):

Inverse Scattering ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Inverse Scattering Transform ◽

Nonlinear Evolution Equations ◽

Scattering Transform

Download Full-text

Solitons, solutions of nonlinear evolution equations, and the inverse scattering transform

Mathematical Methods and Applications of Scattering Theory - Lecture Notes in Physics ◽

10.1007/3-540-10023-7_120 ◽

2008 ◽

pp. 240-246 ◽

Author(s):

M. J. Ablowitz

Keyword(s):

Inverse Scattering ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Inverse Scattering Transform ◽

Nonlinear Evolution Equations ◽

Scattering Transform

Download Full-text

Solitons, Nonlinear Evolution Equation and Inverse Scattering. By M. J. A BLOWITZ and P.A. C LARKSON . Cambridge University Press, 1991. 516 pp. £27.95 or $49.95.

Journal of Fluid Mechanics ◽

10.1017/s0022112092213288 ◽

1992 ◽

Vol 244 (-1) ◽

pp. 721 ◽

Author(s):

R. Grimshaw

Keyword(s):

Evolution Equation ◽

Inverse Scattering ◽

Nonlinear Evolution Equation ◽

Nonlinear Evolution ◽

Cambridge University

Download Full-text