most citedNonlinear Stability of Periodic Travelling Wave Solutions for the Regularized Benjamin-Ono and BBM Equations

2 citations · 3 across the 2 of their papers we have counts for

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math.AP2011★ 1 cited

On the supercritical KdV equation with time-oscillating nonlinearity

M. Panthee, M. Scialom

For the initial value problem (IVP) associated the generalized Korteweg-de Vries (gKdV) equation with supercritical nonlinearity, u_{t}+\partial_x^3u+\partial_x(u^{k+1}) =0,\qquad…

math.AP2009★ 2 cited

Nonlinear Stability of Periodic Travelling Wave Solutions for the Regularized Benjamin-Ono and BBM Equations

Jaime Angulo, Marcia Scialom, Carlos Banquet

This paper has various goals: first, we develop a local and global well-posedness theory for the regularized Benjamin-Ono equation in the periodic setting, second, we show that the…