Results 61 to 70 of about 902,254 (275)
Vertex operator for the non-autonomous ultradiscrete KP equation
, 2009 We propose an ultradiscrete analogue of the vertex operator in the case of the ultradiscrete KP equation--several other ultradiscrete equations--which maps N-soliton solutions to N+1-soliton ones.Comment: 9 ...
Nagai H +4 more
core +1 more source
Bright-dark mixed $N$-soliton solutions of the multi-component Mel'nikov system [PDF]
, 1920 By virtue of the KP hierarchy reduction technique, we construct the general bright-dark mixed $N$-soliton solution to the multi-component Mel'nikov system comprised of multiple (say $M$) short-wave components and one long-wave component with all possible
Han, Zhong, Chen, Yong
core +62 more sources
Frontier Advances of Emerging High‐Entropy Anodes in Alkali Metal‐Ion Batteries
Advanced Functional Materials, EarlyView.Recent advances in microscopic morphology control of high‐entropy anode materials for alkali metal‐ion batteries. Abstract With the growing demand for sustainable energy, portable energy storage systems have become increasingly critical. Among them, the development of rechargeable batteries is primarily driven by breakthroughs in electrode materials ...
Liang Du +14 more
wiley +1 more source
Asymptotic $N$-soliton-like solutions of the fractional Korteweg–de Vries equation
Revista Matemática Iberoamericana, 2022 We construct N -soliton solutions for the fractional Korteweg–de Vries (fKdV) equation \partial_t u - \partial_x(|D|^{\alpha}u - u^2 )=0,
openaire +5 more sources
Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings
Advanced Materials, EarlyView.This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen +12 more
wiley +1 more source
Partial Differential Equations in Applied Mathematics, 2021 We construct lump wave solution by using parametric limit approach from an interaction of double soliton solutions to the (2+1)-dimensional shallow water wave equation.
Fahad Sameer Alshammari +2 more
doaj +1 more source
General N-Dark Soliton Solutions of the Multi-Component Mel’nikov System [PDF]
, 2017 A general form of N-dark soliton solutions of the multi-component Mel’nikov system are presented.
Zhong Han, Yong Chen, Junchao Chen
semanticscholar +1 more source
The Lyapunov stability of the N-soliton solutions in the Lax hierarchy of the Benjamin-Ono equation
, 2006 The Lyapunov stability is established for the N-soliton solutions in the Lax hierarchy of the Benjamin-Ono (BO) equation. We characterize the N-soliton profiles as critical points of certain Lyapunov functional.
Vein R., Yoshimasa Matsuno
core +1 more source
Advanced Optical Materials, EarlyView.We describe the fabrication of 3D polymeric waveguide architectures with tunability of waveguide diameter, lattice symmetry and long and short‐range order using an inexpensive (< $400 CAD) digital light projector. We demonstrate that Projector induced Waveguide Encoded Lattices (ProWELs) possess advanced functionality including tuneable Fields of View (
Kyle Stegman +3 more
wiley +1 more source
MKdV方程和SG方程的可积曲面的构造(Conformation of soliton surfaces of MKdV equation and SG equation)
Zhejiang Daxue xuebao. Lixue ban, 2010 The soliton solutions and the soliton surfaces of Modified Korteweg-de Vries equation (MKdV) and Sine-Gordon (SG) equation by the n-fold Darboux transformation are given out.
ZHANGLing(张玲), DINGNan(丁楠)
doaj +1 more source