25 citations · 27 across the 9 of their papers we have counts for
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Accelerated Imaginary-time Evolution Methods for the Computation of Solitary Waves
Jianke Yang, Taras I. Lakoba
Two accelerated imaginary-time evolution methods are proposed for the computation of solitary waves in arbitrary spatial dimensions. For the first method (with traditional power no…
Universally-convergent Squared-operator Iteration Methods for Solitary Waves in General Nonlinear Wave Equations
Jianke Yang, Taras Lakoba
Three new iteration methods, namely the squared-operator method, the modified squared-operator method, and the power-conserving squared-operator method, for solitary waves in gener…
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…