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Orbital Stability and Instability of Solitary Waves for a Class of Dispersive Symmetric Regularized Long-Wave Equation

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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… Click to show full 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 of the waves speed of propagation and the relation between the dispersion (i.e., the order of the pseudodifferential operator) and the nonlinearity.

Keywords: regularized long; stability instability; long wave; symmetric regularized; instability solitary; orbital stability

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019

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