The interrelation between Bäcklund transformations and the inverse scattering transform

Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications - Lecture Notes in Mathematics ◽

10.1007/bfb0081170 ◽

1976 ◽

pp. 227-240 ◽

Cited By ~ 6

Author(s):

Alan C. Newell

Keyword(s):

Inverse Scattering ◽

Inverse Scattering Transform ◽

Bäcklund Transformations ◽

Scattering Transform ◽

Backlund Transformations

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BÄcklund transformations and functional relation for solutions of nonlinear partial differential equations solvable via the inverse scattering method

Lettere al Nuovo Cimento ◽

10.1007/bf02785140 ◽

1975 ◽

Vol 14 (15) ◽

pp. 537-543 ◽

Cited By ~ 30

Author(s):

F. Calogero

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Inverse Scattering ◽

Nonlinear Partial Differential Equations ◽

Functional Relation ◽

Inverse Scattering Method ◽

Bäcklund Transformations ◽

Scattering Method ◽

Partial Differential ◽

Backlund Transformations

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Inverse scattering transform for the Yajima-Oikawa equations with nonvanishing boundary conditions

Physical Review A ◽

10.1103/physreva.80.063616 ◽

2009 ◽

Vol 80 (6) ◽

Cited By ~ 15

Author(s):

A. A. Zabolotskii

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Inverse Scattering Transform ◽

Scattering Transform

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Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107741 ◽

2021 ◽

pp. 107741

Author(s):

Nan Liu ◽

Zuxing Xuan ◽

Jinyi Sun

Keyword(s):

Schrödinger Equation ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Derivative Nonlinear Schrödinger Equation

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Applications of the inverse scattering transform I: self-induced transparency

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-1978-8-1-71 ◽

1978 ◽

Vol 8 (1-2) ◽

pp. 71-82 ◽

Cited By ~ 1

Author(s):

D.J. Kaup

Keyword(s):

Inverse Scattering ◽

Inverse Scattering Transform ◽

Scattering Transform ◽

Induced Transparency

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INVERSE SCATTERING TRANSFORM AND REGULAR RIEMANN-HILBERT PROBLEM

Acta Physica Sinica ◽

10.7498/aps.32.1589 ◽

1983 ◽

Vol 32 (12) ◽

pp. 1589

Author(s):

WANG SHI-KUN ◽

GUO HAN-YING ◽

WU KE

Keyword(s):

Inverse Scattering ◽

Hilbert Problem ◽

Inverse Scattering Transform ◽

Scattering Transform ◽

Riemann Hilbert Problem

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Soliton physics and the periodic inverse scattering transform

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(95)00089-m ◽

1995 ◽

Vol 86 (1-2) ◽

pp. 81-89 ◽

Cited By ~ 25

Author(s):

A.R. Osborne

Keyword(s):

Inverse Scattering ◽

Inverse Scattering Transform ◽

Scattering Transform

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Inverse Scattering Transform and the Theory of Solitons

Encyclopedia of Complexity and Systems Science ◽

10.1007/978-3-642-27737-5_295-3 ◽

2013 ◽

pp. 1-21 ◽

Cited By ~ 1

Author(s):

Tuncay Aktosun

Keyword(s):

Inverse Scattering ◽

Inverse Scattering Transform ◽

Scattering Transform

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Inverse Scattering Transform Method

Nonlinear Optical Waves ◽

10.1007/978-94-017-2448-7_3 ◽

1999 ◽

pp. 107-132

Author(s):

A. I. Maimistov ◽

A. M. Basharov

Keyword(s):

Inverse Scattering ◽

Inverse Scattering Transform ◽

Transform Method ◽

Scattering Transform

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Solitons and the Inverse Scattering Transform

Nonlinear Partial Differential Equations for Scientists and Engineers ◽

10.1007/978-0-8176-8265-1_9 ◽

2012 ◽

pp. 425-533

Author(s):

Lokenath Debnath

Keyword(s):

Inverse Scattering ◽

Inverse Scattering Transform ◽

Scattering Transform

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Inverse scattering transform in angular momentum and applications to non-local effective actions

Field Theory, Quantum Gravity and Strings - Lecture Notes in Physics ◽

10.1007/3-540-16452-9_15 ◽

1988 ◽

pp. 242-266

Author(s):

J. Avan

Keyword(s):

Angular Momentum ◽

Inverse Scattering ◽

Inverse Scattering Transform ◽

Scattering Transform ◽

Non Local

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