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nlin.PS2026
Whitham modulation equations for the regularized Boussinesq equation with cubic nonlinearity
Mark A. Hoefer, Anna Vainchtein
A regularized Boussinesq equation is studied as a dispersive, long-wave (quasicontinuum) approximation of the Fermi-Pasta-Ulam lattice with a general cubic interaction force. Expli…
nlin.PS2026
Homoclinic and heteroclinic solutions of the nonlinear Schrödinger equation with a complex Wadati potential
Sathyanarayanan Chandramouli, Patrick Sprenger, Mark A. Hoefer
Stationary solutions asymptoting to nonlinear plane waves of the nonlinear Schrödinger equation with a PT-symmetric, complex linear potential are characterized. The potential incl…