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math.AP2018
Instability of the solitary waves for the generalized Boussinesq equations
Bing Li, Masahito Ohta, Yifei Wu +1
In this work, we consider the following generalized Boussinesq equation \begin{align*} \partial_{t}^2u-\partial_{x}^2u+\partial_{x}^2(\partial_{x}^2u+|u|^{p}u)=0,\qquad (t,x)\in\ma…
math.AP2018
Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the endpoint case
Bing Li, Cui Ning
We consider the stability theory of solitary wave solutions for the generalized derivative nonlinear Schrödinger equation $$ i\partial_{t}u+\partial_{x}^{2}u+i|u|^{2σ}\partial_x u=…