40 citations · 49 across the 11 of their papers we have counts for
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Orbital stability of smooth solitary waves for the modified Camassa-Holm equation
Xijun Deng, Stéphane Lafortune, Zhisu Liu
In this paper, we explore the orbital stability of smooth solitary wave solutions to the modified Camassa-Holm equation with cubic nonlinearity. These solutions, which exist on a n…
Modulational Instability of Small Amplitude Periodic Traveling Waves in the Novikov Equation
Brett Ehrman, Mathew A. Johnson, Stéphane Lafortune
We study the spectral stability of smooth, small-amplitude periodic traveling wave solutions of the Novikov equation, which is a Camassa-Holm type equation with cubic nonlinearitie…
Orbital Stability of Smooth Solitary Waves for the Novikov Equation
Brett Ehrman, Mathew A. Johnson, Stéphane Lafortune
We study the orbital stability of smooth solitary wave solutions of the Novikov equation, which is a Camassa-Holm type equation with cubic nonlinearities. These solitary waves are…
Spectral instability of peakons for the -family of Novikov equations
Xijun Deng, Stéphane Lafortune
In this paper, we are concerned with a one-parameter family of peakon equations with cubic nonlinearity parametrized by a parameter usually denoted by the letter . This family i…
Stability of fronts in the diffusive Rosenzweig-MacArthur model
Anna Ghazaryan, Stéphane Lafortune, Yuri Latushkin +1
We consider a diffusive Rosenzweig-MacArthur predator-prey model in the situation when the prey diffuses at the rate much smaller than that of the predator. In a certain parameter…