195 citations
- Nanyang Technological UniversitySG8 papers
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4 papers · 1 filter
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…
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…
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-…