On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation

Water waves, nonlinear Schrödinger equations and their solutions

D. H. Peregrine · The Journal of the Australian Mathematical Society Series B Applied Mathematics · 1983 · 1.7K citations · Full text

Engineering, Shallow Water Hydrodynamics, Oceanography +16

Rogue waves and rational solutions of the nonlinear Schrödinger equation

Nail Akhmediev, Adrian Ankiewicz, J. M. Soto‐Crespo · Physical Review E · 2009 · 993 citations · Full text

Rogue waves and rational solutions of the Hirota equation

Adrian Ankiewicz, J. M. Soto‐Crespo, Nail Akhmediev · Physical Review E · 2010 · 505 citations · Full text

Generalized Wronskian formula for solutions of the KdV equations: first applications

V. B. Matveev · Physics Letters A · 1992 · 230 citations

Wronskian Formula, First Applications, Oscillation Theory +3

Darboux transformation and explicit solutions of the Kadomtcev-Petviaschvily equation, depending on functional parameters

V. B. Matveev · Letters in Mathematical Physics · 1979 · 181 citations

Functional Parameters, Kadomtcev-petviaschvily Equation, Backlund Transformation +4