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Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity
solitary waves nonlinear Dirac equation arbitrary nonlinearity
2014/10/10
We consider the nonlinear Dirac equation in 1+1 dimension with scalar-scalar self interaction g 2κ +1 (ΨΨ)ˉ κ +1 and with mass m. Using the exact analytic form for rest frame solitary waves of the for...
Stability of solitary waves for the generalized higher-order Boussinesq equation
Boussinesq equation solitary waves stability Analysis of PDEs
2011/9/19
Abstract: This work studies the stability of solitary waves of a class of sixth-order Boussinesq equations.
Stability of solitary waves of a generalized two-component Camassa-Holm system
Stability of solitary waves generalized two-component Camassa-Holm system
2010/12/6
We study here the existence of solitary wave solutions of a generalized twocomponent Camassa-Holm system. In addition to those smooth solitary-wave solutions,we show that there are solitary waves with...
ORBITAL STABILITY OF SOLITARY WAVES FOR THE KLEIN-GORDON-ZAKHAROV EQUATIONS
Solitary wave stability Klei
2007/12/10
This paper concerns the orbital stability of solitary waves of the Klein- Gordon- Zakharov equations. By applying the abstract results of [1, 2] and detailed spectral analysis, we obtain the stability...