output
20092026
most citedEnhancement of the superconducting critical temperature realized in the La-Ce-H system at moderate pressures

141 citations

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5 papers · 1 filter

nlin.SI2025★ 3 cited

Residual Symmetry Reductions and Painlevé Solitons

Yan Li, Ya-Rong Xia, Ruo-Xia Yao +1

This letter introduces the novel concept of Painlevé solitons -- waves arising from the interaction between Painlevé waves and solitons in integrable systems. Painlevé solitons may…

nlin.SI2024★ 1 cited

Bäcklund-Darboux Transformations for Super KdV Type Equations

Lingling Xue, Shasha Wang, Qing Ping Liu

By introducing a Miura transformation, we derive a generalized super modified Korteweg-de Vries (gsmKdV) equation from the generalized super KdV (gsKdV) equation. It is demonstrate…

nlin.SI2024★ 2 cited

Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure

Xin Hu, Matteo Casati

In this paper, we investigate multidimensional first-order quasi-linear systems and find necessary conditions for them to admit Hamiltonian formulation. The insufficiency of the co…

nlin.SI2023★ 7 cited

Multidimensional Integrable Deformations of Integrable PDEs

Matteo Casati, Danda Zhang

In a recent series of papers by Lou et al., it was conjectured that higher dimensional integrable equations may be constructed by utilizing some conservation laws of (1 + 1)-dimens…

nlin.SI2020★ 4 cited

Second-order integrable Lagrangians and WDVV equations

Evgeny V. Ferapontov, Maxim V. Pavlov, Lingling Xue

We investigate integrability of Euler-Lagrange equations associated with 2D second-order Lagrangians of the form \begin{equation*} \int f(u_{xx},u_{xy},u_{yy})\ dxdy. \end{equation…