Stability and dynamics of regular and embedded solitons of a perturbed fifth-order KdV equation

Partial differential equations of mathematical physics and other areas of application (35Qxx) Qualitative theory for ordinary differential equations (34Cxx) Incompressible inviscid fluids (76Bxx)

Cites Work

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Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
Structural stability of the Korteweg-de Vries solitons under a singular perturbation
Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
Cascades of reversible homoclinic orbits to a saddle-focus equilibrium
A simple global characterization for normal forms of singular vector fields
A multiplicity result for solitary gravity-capillary waves in deep water via critical-point theory
Orbits homoclinic to exponentially small periodic orbits for a class of reversible systems. Application to water waves
Convergent analytic solutions for homoclinic orbits in reversible and non-reversible systems
Adaptive method of lines solutions for the extended fifth-order Korteweg-de Vries equation
Hamiltonian perturbation theory and water waves
Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation
Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
Water waves for small surface tension: an approach via normal form
Experimental study of interfacial solitary waves
Moving embedded solitons
Homoclinic orbits to small periodic orbits for a class of reversible systems
Dynamics of Embedded Solitons in the Extended Korteweg–de Vries Equations
On Short‐Scale Oscillatory Tails of Long‐Wave Disturbances

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