Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation

<i>Linear and Nonlinear Waves</i>

G. B. Whitham, Richard Fowler · Physics Today · 1975 · 8.3K citations

Natural Sciences, Mathematics, Physics +17

Dynamics of classical solitons (in non-integrable systems)

V.G. Makhankov · Physics Reports · 1978 · 591 citations

Natural Sciences, Mathematics, Physics +14

Symplectic fixed points and holomorphic spheres

Andreas Floer · Communications in Mathematical Physics · 1989 · 465 citations

Natural Sciences, Mathematics, Geometry +7

An existence theory for water waves and the boussinesq and korteweg-devries scaling limits

Walter Craig · Communications in Partial Differential Equations · 1985 · 388 citations

Natural Sciences, Earth Sciences, Mathematics +10

Verification methods: Rigorous results using floating-point arithmetic

Siegfried M. Rump · Acta Numerica · 2010 · 270 citations

Computing, Computer Science, Mathematics +11