Strong instability of solitary waves for inhomogeneous nonlinear Schrödinger equations
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DOI: 10.1002/mma.7731
Abstract: This paper studies the inhomogeneous nonlinear Schrödinger equations, which may model the propagation of laser beams in nonlinear optics. Using the cross‐constrained variational method, a sharp condition for global existence is derived. Then, by solving… read more here.
Keywords: instability solitary; nonlinear schr; strong instability; inhomogeneous nonlinear ... See more keywords
Orbital Stability and Instability of Solitary Waves for a Class of Dispersive Symmetric Regularized Long-Wave Equation
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DOI: 10.1007/s00009-019-1361-7
Abstract: This paper studies the orbital stability and instability of solitary wave solutions of the generalized symmetric regularized long-wave-type equations. It is shown that a traveling wave may be stable or unstable depending on the range… read more here.
Keywords: regularized long; stability instability; long wave; symmetric regularized ... See more keywords