Mark J. Ablowitz

The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Studies in Applied Mathematics · 1974 · 3.1K citations

Numerical Analysis, Nonlinear Problems, Inverse Scattering +9

Nonlinear-Evolution Equations of Physical Significance

Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Physical Review Letters · 1973 · 1.1K citations

Numerical Analysis, Physics, Initial-value Problem +9

A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

Mark J. Ablowitz, A. Ramani, Harvey Segur · Journal of Mathematical Physics · 1980 · 990 citations

Linear Integral Equation, Inverse Scattering Transforms, Inverse Problems +8

Nonlinear differential–difference equations and Fourier analysis

Mark J. Ablowitz, J. F. Ladik · Journal of Mathematical Physics · 1976 · 964 citations

Inverse Scattering, Wave Scattering, Nonlinear Differential–difference Equations +6

Method for Solving the Sine-Gordon Equation

Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Physical Review Letters · 1973 · 913 citations

Numerical Analysis, Method Of Fundamental Solution, Initial Value Problem +6