Exploring the connection between quasistationary and squared eigenfunction expansion techniques in soliton perturbation theory
From MaRDI portal
Publication:1000068
DOI10.1016/j.na.2005.02.034zbMath1224.35363OpenAlexW2042045661MaRDI QIDQ1000068
Publication date: 4 February 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2005.02.034
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Related Items
Solutions of an extended KdV equation describing single stationary waves with strong or weak downstream decay in turbulent open‐channel flow ⋮ Asymptotic methods for solitary solutions and compactons
Cites Work
- Unnamed Item
- Complete eigenfunctions of linearized integrable equations expanded around a soliton solution
- Perturbations of Solitons and Solitary Waves
- A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
- A Green’s function for a linear equation associated with solitons
- The perturbed Korteweg–de Vries equation considered anew
- Soliton Evolution in the Presence of Perturbation
- Quasi-stationary perturbations of the KdV soliton
- A direct approach to studying soliton perturbations
- Nonlinear Theory of Ion Acoustic Waves with Landau Damping
- Resolution of the motion of a perturbed KdV soliton