4 papers
Complete eigenfunctions of linearized integrable equations expanded around an arbitrary solution
Jianke Yang
Complete eigenfunctions of linearized integrable equations expanded around an arbitrary solution are obtained for the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and the Korteweg-d…
A tail-matching method for the linear stability of multi-vector-soliton bound states
Jianke Yang
Linear stability of multi-vector-soliton bound states in the coupled nonlinear Schrödinger equations is analyzed using a new tail-matching method. Under the condition that individu…
Multiple permanent-wave trains in nonlinear systems
Jianke Yang
Multiple permanent-wave trains in nonlinear systems are constructed by the asymptotic tail-matching method. Under some general assumptions, simple criteria for the construction are…
Instabilities of multi-hump vector solitons in coupled nonlinear Schroedinger equations
Dmitry Pelinovsky, Jianke Yang
Spectral stability of multi-hump vector solitons in the Hamiltonian system of coupled nonlinear Schrödinger (NLS) equations is investigated both analytically and numerically. Using…