D. J. Kaup

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All published works
Action Title Year Authors
+ PDF Chat Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices 2020 Robert A. Van Gorder
Andrew L. Krause
Boris A. Malomed
D. J. Kaup
+ Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schr\"{o}dinger lattices 2020 Robert A. Van Gorder
Andrew L. Krause
Boris A. Malomed
D. J. Kaup
+ PDF Chat Resonant solitons from the 3 × 3 operator 2012 D. J. Kaup
Robert A. Van Gorder
+ PDF Chat Unstaggered-staggered solitons in two-component discrete nonlinear Schrödinger lattices 2012 Boris A. Malomed
D. J. Kaup
Robert A. Van Gorder
+ Unstaggered-staggered solitons in two-component discrete nonlinear Schr\ 2012 Boris A. Malomed
D. J. Kaup
Robert A. Van Gorder
+ Resonant solitons from the $3\times 3$ operator 2011 D. J. Kaup
Robert A. Van Gorder
+ The inverse scattering transform and squared eigenfunctions for a degenerate 3 × 3 operator 2009 D. J. Kaup
Jianke Yang
+ PDF Chat Squared eigenfunctions for the Sasa–Satsuma equation 2009 Jianke Yang
D. J. Kaup
+ PDF Chat Интегрируемые системы и квадраты собственных функций 2009 Д Дж Кауп
D. J. Kaup
+ On classification of soliton solutions of multicomponent nonlinear evolution equations 2008 Vladimir S. Gerdjikov
D. J. Kaup
N. A. Kostov
Tihomir Valchev
+ Inverse scattering for an AKNS problem with rational reflection coefficients 2008 H. Steudel
D. J. Kaup
+ How many types of soliton solutions do we know? 2007 Vladimir S. Gerdjikov
D. J. Kaup
N. A. Kostov
Tihomir Valchev
+ Quantitative measurement of variational approximations 2006 D. J. Kaup
Thomas Vogel
+ Evolution of the Scattering Coefficients of the Camassa–Holm Equation, for General Initial Data 2006 D. J. Kaup
+ PDF Chat Embedded solitons in Lagrangian and semi-Lagrangian systems 2003 D. J. Kaup
Boris A. Malomed
+ The legacy of the inverse scattering transform in applied mathematics : proceedings of an AMS-IMS-SIAM joint summer research conference on the legacy of inverse scattering transform in nonlinear wave propagation, June 17-21, 2001 Mount Holyoke College, South Hadley, MA 2002 Jerry L. Bona
Roy S. Choudhury
D. J. Kaup
+ The Legacy of the IST 2002 D. J. Kaup
+ Embedded solitons: a new type of solitary wave 2001 Jianke Yang
Boris A. Malomed
D. J. Kaup
Alan R. Champneys
+ PDF Chat Embedded solitons: solitary waves in resonance with the linear spectrum 2001 Alan R. Champneys
B. A. Malomed
Jianke Yang
D. J. Kaup
+ Stability and Evolution of Solitary Waves in Perturbed Generalized Nonlinear Schrödinger Equations 2000 D. J. Kaup
Jianke Yang
+ Inverse scattering transform on a finite interval 1999 H. Steudel
D. J. Kaup
+ Perturbation theory for the Benjamin-Ono equation 1999 D. J. Kaup
Taras I. Lakoba
Yoshimasa Matsuno
+ The Inverse Scattering Transform for the Benjamin–Ono Equation 1998 D. J. Kaup
Yoshimasa Matsuno
+ Stability and quasi-equidistant propagation of NLS soliton trains 1998 Vladimir S. Gerdjikov
Evstati Evstatiev
D. J. Kaup
Georgi Diankov
Ivan M. Uzunov
+ Complete integrability of the Benjamin-Ono equation by means of action-angle variables 1998 D. J. Kaup
Taras I. Lakoba
Yoshimasa Matsuno
+ Soliton Waves in Perturbed Generalized Nonlinear Schrodinger Equations 1998 Jianke Yang
D. J. Kaup
+ Initial value problem of the linearized Benjamin–Ono equation and its applications 1997 Yoshimasa Matsuno
D. J. Kaup
+ Linear stability of multiple internal solitary waves in fluids of great depth 1997 Yoshimasa Matsuno
D. J. Kaup
+ On the Inverse Scattering Transform for the Benjamin-Ono Equation, 1997 D. J. Kaup
Yoshimasa Matsuno
+ Criterion and Regions of Stability for Quasi-Equidistant Soliton Trains 1997 Vladimir S. Gerdjikov
Evstati Evstatiev
D. J. Kaup
Georgi Diankov
Ivan M. Uzunov
+ PDF Chat Variational method: How it can generate false instabilities 1996 D. J. Kaup
Taras I. Lakoba
+ PDF Chat Two-dimensional nonlinear Schrödinger equations and their properties 1994 Ronald Kates
D. J. Kaup
+ PDF Chat Nonlinear evolution of Langmuir and electromagnetic pulses in a warm, unmagnetized plasma: modulational instability, integrability and self-focusing in 2 + 1 dimensions 1994 Ronald Kates
D. J. Kaup
+ Asymptotic expansions for the transmission coefficients of the so-called Davey-Stewartson I system 1993 D. J. Kaup
+ Nonlinear Processes in Physics 1993 A. S. Fokas
D. J. Kaup
A.C. Newell
В. Е. Захаров
+ PDF Chat Errata for: The Third‐Order Singular Perturbation Expansion of the Planar Cold‐Fluid Magnetron Equations 1990 D. J. Kaup
Gary E. Thomas
+ Direct and inverse scattering problem associated with the elliptic sinh-Gordon equation 1990 Marek Adam. Jaworski
D. J. Kaup
+ The Inverse Scattering Transform for the Elliptic Sinh-Gordon Equation 1990 Marek Adam. Jaworski
D. J. Kaup
+ Time Evolution of the Scattering Data for the Forced Toda Lattice 1989 David Wycoff
D. J. Kaup
+ The Third‐Order Singular‐Perturbation Expansion of the Planar Cold‐Fluid Magnetron Equations 1989 D. J. Kaup
Gary E. Thomas
+ Integrable ponderomotive system: Cavitons are solitons 1987 D. J. Kaup
+ Comments on the inverse scattering transform for the forced toda lattice 1987 D. J. Kaup
P. J. Hansen
+ The Toda Lattice as a Forced Integrable System 1985 P. J. Hansen
D. J. Kaup
+ The Forced Nonlinear SCHRÖDINGER Equation 1985 D. J. Kaup
P. J. Hansen
+ PDF Chat The forced Toda lattice: An example of an almost integrable system 1984 D. J. Kaup
+ The method of Estabrook and Wahlquist 1982 D. J. Kaup
+ The Estabrook-Wahlquist method with examples of application 1980 D. J. Kaup
+ On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class <i>ψ<sub>xxx</sub></i> + 6<i>Qψ<sub>x</sub></i> + 6<i>R<sub>ψ</sub></i> = λ<i>ψ</i> 1980 D. J. Kaup
+ The inverse scattering solution for the full three dimensional three- wave resonant interaction 1980 D. J. Kaup
+ Conservation laws of the Benjamin–Ono equation 1980 H. H. Chen
D. J. Kaup
+ The Goursat and Cauchy Problems for the Sine-Gordon Equation 1978 D. J. Kaup
Alan C. Newell
+ On the coleman correspondence and the solution of the massive thirring model 1977 D. J. Kaup
Alan C. Newell
+ A Bäcklund Transformation for a Higher Order Korteweg-De Vries Equation 1977 Junkichi Satsuma
D. J. Kaup
+ A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform 1976 D. J. Kaup
+ Closure of the squared Zakharov-Shabat eigenstates 1976 D. J. Kaup
+ The Three‐Wave Interaction—A Nondispersive Phenomenon 1976 D. J. Kaup
+ PDF Chat Finding Eigenvalue Problems for Solving Nonlinear Evolution Equations 1975 D. J. Kaup
+ Method for Solving the Sine‐Gordon Equation in Laboratory Coordinates 1975 D. J. Kaup
+ Solvable quantum cosmological model and the importance of quantizing in a special canonical frame 1974 D. J. Kaup
Anthony P. Vitello
+ Nonlinear-Evolution Equations of Physical Significance 1973 Mark J. Ablowitz
D. J. Kaup
Alan C. Newell
Harvey Segur
+ Method for Solving the Sine-Gordon Equation 1973 Mark J. Ablowitz
D. J. Kaup
Alan C. Newell
Harvey Segur
+ A modification of the variable phase method for optimum numerical calculation of phase shifts 1972 D. J. Kaup
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Method for Solving the Sine-Gordon Equation 1973 Mark J. Ablowitz
D. J. Kaup
Alan C. Newell
Harvey Segur
13
+ Closure of the squared Zakharov-Shabat eigenstates 1976 D. J. Kaup
13
+ A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform 1976 D. J. Kaup
8
+ Method for Solving the Sine‐Gordon Equation in Laboratory Coordinates 1975 D. J. Kaup
6
+ The Three‐Wave Interaction—A Nondispersive Phenomenon 1976 D. J. Kaup
6
+ The generating operator for the n × n linear system 1981 Vladimir S. Gerdjikov
P. P. Kulish
4
+ PDF Chat Embedded solitons in a three-wave system 2000 Alan R. Champneys
Boris A. Malomed
4
+ Soliton dynamics in the discrete nonlinear Schrödinger equation 1996 Boris A. Malomed
Michael I. Weinstein
4
+ Inverse scattering transform on a finite interval 1999 H. Steudel
D. J. Kaup
4
+ PDF Chat Basic Aspects of Solition Theory 2012 Vladimir S. Gerdjikov
4
+ Integrals of nonlinear equations of evolution and solitary waves 1968 Peter D. Lax
4
+ On discrete inverse scattering problems. II 1973 K. M. Case
4
+ PDF Chat How Many Types of Soliton Solutions Do We Know? 2012 Vladimir S. Gerdjikov
4
+ The Exact Solution of the Modified Korteweg-de Vries Equation 1972 Miki Wadati
4
+ PDF Chat Localized breathing oscillations of Bose-Einstein condensates in periodic traps 2002 R. Carretero-González
Keith Promislow
3
+ PDF Chat Extreme Tunability of Interactions in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi>Li</mml:mi><mml:mprescripts /><mml:none /><mml:mn>7</mml:mn></mml:mmultiscripts></mml:math>Bose-Einstein Condensate 2009 S. E. Pollack
D. Dries
M. Junker
Y. P. Chen
Theodore A. Corcovilos
Randall G. Hulet
3
+ PDF Chat Multistable solitons in higher-dimensional cubic–quintic nonlinear Schrödinger lattices 2008 Christopher Chong
R. Carretero-González
Boris A. Malomed
P. G. Kevrekidis
3
+ PDF Chat Josephson Junction Arrays with Bose-Einstein Condensates 2001 F. S. Cataliotti
Sven Burger
C. Fort
P. Maddaloni
F. Minardi
Andrea Trombettoni
Augusto Smerzi
M. Inguscio
3
+ Localization in Periodic Potentials: From Schrodinger Operators to the Gross-Pitaevskii Equation 2011 Dmitry E. Pelinovsky
3
+ PDF Chat Squared eigenfunctions for the Sasa–Satsuma equation 2009 Jianke Yang
D. J. Kaup
3
+ Dynamics of Embedded Solitons in the Extended Korteweg–de Vries Equations 2001 Jianke Yang
3
+ PDF Chat Symmetry breaking in linearly coupled dynamical lattices 2007 G. Herring
P. G. Kevrekidis
Boris A. Malomed
R. Carretero-González
D. J. Frantzeskakis
3
+ Stability of multiple pulses in discrete systems 2001 Todd Kapitula
P. G. Kevrekidis
Boris A. Malomed
3
+ The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems 1983 A. S. Fokas
Mark J. Ablowitz
3
+ PDF Chat Control of the interaction in a Fermi-Bose mixture 2006 Matteo Zaccanti
Chiara D’Errico
Francesca Ferlaino
G. Roati
M. Inguscio
Giovanni Carlo Modugno
3
+ Generalised Fourier transforms for the soliton equations. Gauge-covariant formulation 1986 Vladimir S. Gerdjikov
3
+ PDF Chat General soliton matrices in the Riemann–Hilbert problem for integrable nonlinear equations 2003 V. S. Shchesnovich
Jianke Yang
3
+ The decay of the continuous spectrum for solutions of the Korteweg-deVries equation 1973 Mark J. Ablowitz
Alan C. Newell
3
+ PDF Chat Interface solitons in one-dimensional locally coupled lattice systems 2010 Ljupčo Hadžievski
Goran Gligorić
Aleksandra Maluckov
Boris A. Malomed
3
+ PDF Chat Multistable solitons in the cubic–quintic discrete nonlinear Schrödinger equation 2006 R. Carretero-González
J.D. Talley
Christopher Chong
Boris A. Malomed
3
+ PDF Chat Independent Control of Scattering Lengths in Multicomponent Quantum Gases 2009 Peng Zhang
Pascal Naidon
Masahito Ueda
3
+ Inverse-scattering problem for a system of differential equations 1979 A. B. Shabat
3
+ PDF Chat The forced Toda lattice: An example of an almost integrable system 1984 D. J. Kaup
3
+ PDF Chat Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates 2001 Andrea Trombettoni
Augusto Smerzi
3
+ PDF Chat A global investigation of solitary-wave solutions to a two-parameter model for water waves 1997 Alan R. Champneys
M. D. Groves
3
+ Linear stability of multiple internal solitary waves in fluids of great depth 1997 Yoshimasa Matsuno
D. J. Kaup
3
+ Scattering and inverse scattering for first order systems 1984 Richard Beals
Ronald R. Coifman
3
+ PDF Chat Wannier functions analysis of the nonlinear Schrödinger equation with a periodic potential 2002 G. L. Alfimov
P. G. Kevrekidis
V. V. Konotop
Mario Salerno
3
+ PDF Chat Interface solitons in locally linked two-dimensional lattices 2011 Marko D. Petrović
Goran Gligorić
Aleksandra Maluckov
Ljupčo Hadžievski
Boris A. Malomed
3
+ PDF Chat Localization and delocalization of two-dimensional discrete solitons pinned to linear and nonlinear defects 2011 V. A. Brazhnyi
Boris A. Malomed
2
+ Poisson structure for the KdV equation 1985 L. D. Faddeev
Leon A. Takhtajan
2
+ PDF Chat On the limit from the intermediate long wave equation to the Benjamin–Ono equation 1984 P. M. Santini
Mark J. Ablowitz
A. S. Fokas
2
+ PDF Chat Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management 2003 F. Kh. Abdullaev
E. N. Tsoy
Boris A. Malomed
R. A. Kraenkel
2
+ PDF Chat Domain walls in two-component dynamical lattices 2003 P. G. Kevrekidis
Boris A. Malomed
D. J. Frantzeskakis
A. R. Bishop
2
+ PDF Chat Thirring Solitons in the Presence of Dispersion 1998 Alan R. Champneys
Boris A. Malomed
Mark J. Friedman
2
+ PDF Chat Moving embedded solitons 1999 Alan R. Champneys
Boris A. Malomed
2
+ Hamiltonian structure of the Kadomtsev-Petviashvili-II equation in the class of decreasing Cauchy data 1987 V. D. Lipovskii
2
+ On the spectral theory of the integro-differential operator a generating nonlinear evolution equations 1982 Vladimir S. Gerdjikov
2
+ A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I 1975 В. Е. Захаров
A. B. Shabat
2
+ PDF Chat Energy Thresholds for Discrete Breathers in One-, Two-, and Three-Dimensional Lattices 1997 Sergej Flach
K. Kladko
Robert S. MacKay
2