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N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method 期刊论文
WAVE MOTION, 2022, 卷号: 114, 页码: 13
作者:  Zhang, Minghe;  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：109/0  |  提交时间：2023/02/07
Multi-component third-fifth-order mKdV  equations  Lax pair  Riemann-Hilbert approach  Soliton solutions  Breathers  
GLOBAL SOLUTIONS OF A TWO-DIMENSIONAL RIEMANN PROBLEM FOR THE PRESSURE GRADIENT SYSTEM 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2475-2503
作者:  Chen, Gui-qiang G.;  Wang, Q. I. N.;  Zhu, S. H. E. N. G. G. U. O.
收藏  |  浏览/下载：196/0  |  提交时间：2021/10/26
Two-dimensional Riemann problems  global solutions  pressure gradient system  Euler equations  hyperbolic conservation laws  mixed type  degenerate elliptic equations  shocks  transonic shock  vortex sheets  free boundary problem  
Focusing and defocusing mKdV equations with nonzero boundary conditions: Inverse scattering transforms and soliton interactions 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2020, 卷号: 410, 页码: 22
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：173/0  |  提交时间：2020/09/23
Focusing and defocusing mKdV equations  Non-zero boundary conditions  Direct and inverse scattering  Riemann-Hilbert problem  Multi-soliton solutions  Breathers  
Concentration of mass in the pressureless limit of Euler equations for power law 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 卷号: 47, 页码: 224-235
作者:  Ibrahim, Muhammad;  Liu, Fujun;  Liu, Song
收藏  |  浏览/下载：185/0  |  提交时间：2019/04/02
Riemann solutions  Delta wave  Power law  Zero pressure gas dynamics  Weighted Dirac-measure  Numerical simulations  
Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrodinger equation with space-modulated potential and nonlinearities 期刊论文
NONLINEAR DYNAMICS, 2015, 卷号: 82, 期号: 1-2, 页码: 119-129
作者:  Yan, Zhenya
收藏  |  浏览/下载：130/0  |  提交时间：2018/07/30
The cubic-quintic NLS equation with space-modulated coefficients  Stationary solutions  Conformal mapping  Cauchy-Riemann equation  Bright-like and dark-like solitons  Vortex solitons