Studies in Applied Mathematics Journal

Overview

publication venue for

• Hydrodynamics of a discrete conservation law 2024
• Inverse scattering transform for continuous and discrete space-time-shifted integrable equations 2024
• Preface: Integrable systems and their applications, celebrating the 70th birthday of Athanassios S. Fokas 2024
• Long-time asymptotics and the radiation condition with time-periodic boundary conditions for linear evolution equations on the half-line and experiment 2024
• Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics 2023
On the Whitham system for the (2+1)-dimensional nonlinear Schrodinger equation 2023
Dispersive Riemann problems for the Benjamin-Bona-Mahony equation 2021
Traveling wave solutions in a model for social outbursts in a tension-inhibitive regime 2021
Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability 2021
Modulation theory solution for nonlinearly resonant, fifth-order Korteweg-de Vries, nonclassical, traveling dispersive shock waves 2019
Nonlinear Schrodinger equations and the universal description of dispersive shock wave structure 2019
On the Whitham system for the radial nonlinear Schrodinger equation 2019
Reverse Space-Time Nonlocal Sine-Gordon/Sinh-Gordon Equations with Nonzero Boundary Conditions 2018
Stationary Expansion Shocks for a Regularized Boussinesq System 2018
Preface: Special Issues in Memory of David Benney (Part II) 2017
Integrable Nonlocal Nonlinear Equations 2017
Preface: Special Issues in Memory of David Benney (Part I) 2017
Numerical Quadrature over the Surface of a Sphere 2016
Toward a General Solution of the Three-Wave Partial Differential Equations 2016
Unified Orbital Description of the Envelope Dynamics in Two-Dimensional Simple Periodic Lattices 2013
Painleve IV with both Parameters Zero: A Numerical Study 2013
On Tight-Binding Approximations in Optical Lattices 2012
Parameterizations of the Chazy Equation 2010
Asymptotic Analysis of Pulse Dynamics in Mode-Locked Lasers 2009
Damping of Periodic Waves in Physically Significant Wave Systems 2008
Discrete vector solitons: Composite solitons, Yang-Baxter maps and computation 2006
The Cauchy problem for the Kadomtsev-Petviashili II equation with nondecaying data along a line 2002
Research contributions of David J. Benney 2002
Nonlinear feedback shift registers via nonlinear evolution 2001
The generalized Chazy equation from the self-duality equations 1999
Three-phase solutions of the Kadomtsev-Petviashvili equation 1997
Initial time layers and Kadomtsev-Petviashvili-type equations 1997
ON THE KADOMTSEV-PETVIASHVILI EQUATION AND ASSOCIATED CONSTRAINTS 1991
ASYMPTOTICS BEYOND ALL ORDERS IN A MODEL OF CRYSTAL-GROWTH 1991
INTERACTION OF SIMPLE PARTICLES IN SOLITON CELLULAR AUTOMATA 1989
FORCED NONLINEAR EVOLUTION-EQUATIONS AND THE INVERSE SCATTERING TRANSFORM 1989
STRONG COUPLING LIMIT OF CERTAIN MULTIDIMENSIONAL NONLINEAR-WAVE EQUATIONS 1989
A RULE FOR FAST COMPUTATION AND ANALYSIS OF SOLITON AUTOMATA 1988
SOLUTIONS OF MULTIDIMENSIONAL EXTENSIONS OF THE ANTI-SELF-DUAL YANG-MILLS EQUATION 1987
Addenda and corrigenda to: “On the solution of the generalized wave and generalized sine-Gordon equations” [Stud. Appl. Math. bf 74 (1986), no. 3, 177–203; MR0845770 (88a:35196)] 1987
ON THE SOLUTION OF THE GENERALIZED WAVE AND GENERALIZED SINE-GORDON EQUATIONS 1986
An Analytical Model of Periodic Waves in Shallow Water 1985
A MULTIDIMENSIONAL INVERSE-SCATTERING METHOD 1984
MULTIDIMENSIONAL INVERSE SCATTERING FOR 1ST-ORDER SYSTEMS 1984
ON THE INVERSE SCATTERING OF THE TIME-DEPENDENT SCHRODINGER-EQUATION AND THE ASSOCIATED KADOMTSEV-PETVIASHVILI EQUATION 1983
ON THE INVERSE SCATTERING TRANSFORM FOR THE KADOMTSEV-PETVIASHVILI EQUATION 1983
THE INVERSE SCATTERING TRANSFORM FOR THE BENJAMIN-ONO-EQUATION - A PIVOT TO MULTIDIMENSIONAL PROBLEMS 1983
NOTE ON ASYMPTOTIC SOLUTIONS OF THE KORTEWEG-DEVRIES EQUATION WITH SOLITONS 1982
PERTURBATIONS OF SOLITONS AND SOLITARY WAVES 1981
THE PERIODIC CUBIC SCHRODINGER-EQUATION 1981
LONG INTERNAL WAVES IN FLUIDS OF GREAT DEPTH 1980
LECTURES ON INVERSE SCATTERING TRANSFORM 1978
ASYMPTOTIC SOLUTIONS OF KORTEWEG-DEVRIES EQUATION 1977
SOLUTION OF A CLASS OF NONLINEAR PARTIAL DIFFERENCE EQUATIONS 1977
NONLINEAR DIFFERENCE SCHEME AND INVERSE SCATTERING 1976
NOTE ON RESONANCE AND NONLINEAR DISPERSIVE WAVES 1975
INVERSE SCATTERING TRANSFORM-FOURIER ANALYSIS FOR NONLINEAR PROBLEMS 1974
SEMI-RESONANT INTERACTIONS AND FREQUENCY DIVIDERS 1973
APPROXIMATE METHODS FOR OBTAINING MULTI-PHASE MODES IN NONLINEAR DISPERSIVE WAVE PROBLEMS 1972
APPLICATIONS OF SLOWLY VARYING NONLINEAR DISPERSIVE WAVE THEORIES 1971
EVOLUTION OF MULTI-PHASE MODES FOR NONLINEAR DISPERSIVE WAVES 1970
... more

Research

keywords

• 0102 Applied Mathematics