7 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…
Continuous families of embedded solitons in the third-order NLS equation
Jianke Yang, Triantaphyllos R. Akylas
The nonlinear Schroedinger equation with a third-order dispersive term is considered. Infinite families of embedded solitons, parameterized by the propagation velocity, are found t…
Semi-stability of embedded solitons in the general fifth-order KdV equation
Yu Tan, Jianke Yang, Dmitry Pelinovsky
Evolution of perturbed embedded solitons in the general Hamiltonian fifth-order Korteweg--de Vries (KdV) equation is studied. When an embedded soliton is perturbed, it sheds a one-…