On the instability of solitary waves solutions of the generalized Benjamin equation.

zbMath1038.35088MaRDI QIDQ1413003

Jaime Angulo Pava

Publication date: 10 November 2003

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Korteweg-de Vries type equationsinstability of solitary wavesgeneralized Benjamin equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear effects in hydrodynamic stability (76E30) Solitary waves for incompressible inviscid fluids (76B25) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)

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Solitary waves of a coupled KdV system with a weak rotation ⋮ Control and stabilization for the dispersion generalized Benjamin equation on the circle ⋮ Numerical approximation to Benjamin type equations. Generation and stability of solitary waves ⋮ Stability of solitary waves for the generalized higher-order Boussinesq equation ⋮ Instability and blow-up of solutions of the fifth-order KP equation ⋮ Nonlinear dispersive equations: classical and new frameworks

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