R
Runliang Lin
Researcher at Tsinghua University
Publications - 28
Citations - 639
Runliang Lin is an academic researcher from Tsinghua University. The author has contributed to research in topics: Hierarchy (mathematics) & Kadomtsev–Petviashvili equation. The author has an hindex of 11, co-authored 28 publications receiving 589 citations. Previous affiliations of Runliang Lin include Complutense University of Madrid.
Papers
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Integration of the soliton hierarchy with self-consistent sources
TL;DR: In this paper, the singularity of the eigenfunctions in the Lax representation of soliton equation with self-consistent sources (SESCS) is treated to determine the evolution of scattering data.
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Solving the KdV hierarchy with self-consistent sources by inverse scattering method
TL;DR: In this article, a method to treat the singularity to determine the evolution of scattering data was proposed, and the KdV hierarchy with self-consistent sources was integrated by the inverse scattering method.
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A new extended KP hierarchy
TL;DR: In this article, a method is proposed to construct a new extended KP hierarchy, which includes two types of KP equation with self-consistent sources and admits reductions to k-constrained KP hierarchy and to Gelfand-Dickey hierarchy with sources.
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A new extended q-deformed KP hierarchy
TL;DR: In this paper, a new extended q-deformed KP hierarchy with self-consistent sources and its Lax representation is proposed, which provides a general way to construct (2+1)- and (1+1) dimensional q-Deformed soliton equations with sources and their Lax representations.
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A Generalized Dressing Approach for Solving the Extended KP and the Extended mKP Hierarchy
TL;DR: A combination of dressing method and variation of constants as well as a formula for constructing the eigenfunction is used to solve the extended KP hierarchy, which is a hierarchy with one more series of time flow and based on the symmetry constraint of KP hierarchy.