DYNAMICS OF KDV SOLITONS IN THE PRESENCE OF A SLOWLY VARYING POTENTIAL JUSTIN HOLMER Abstract. We study the dynamics of solitons as solutions to the perturbed KdV (pKdV) equation ∂t u = −∂x (∂x2 u 3u2 − bu), - Fermi–Pasta–Ulam problem - Document - PDFSEARCH.IO

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	DYNAMICS OF KDV SOLITONS IN THE PRESENCE OF A SLOWLY VARYING POTENTIAL JUSTIN HOLMER Abstract. We study the dynamics of solitons as solutions to the perturbed KdV (pKdV) equation ∂t u = −∂x (∂x2 u + 3u2 − bu), Add to Reading List Document Date: 2010-12-31 00:02:51 Open Document File Size: 507,93 KB Share Result on Facebook IndustryTerm energy method / inverse scattering machinery / direct energy estimate / numerical solution / approximate solution / / Organization National Science Foundation / / Person Maciej Zworski / JUSTIN HOLMER / Galina Perelman / / Position P¨oschl-Teller / / ProgrammingLanguage MATLAB / / SocialTag Multivariable calculus Korteweg–de Vries equation Orbital stability Virial theorem Fermi–Pasta–Ulam problem Calculus Physics Solitons

DYNAMICS OF KDV SOLITONS IN THE PRESENCE OF A SLOWLY VARYING POTENTIAL JUSTIN HOLMER Abstract. We study the dynamics of solitons as solutions to the perturbed KdV (pKdV) equation ∂t u = −∂x (∂x2 u + 3u2 − bu), Add to Reading List