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pro vyhledávání: '"Tian, Shou‐Fu"'
The newly discovered exponential and algebraic double-soliton solutions of the massive Thirring model in laboratory coordinates are placed in the context of the inverse scattering transform. We show that the exponential double-solitons correspond to
Externí odkaz:
http://arxiv.org/abs/2412.00838
In this work, the nonlinear steepest descent method is employed to study the long-time asymptotics of the integrable nonlocal Lakshmanan-Porsezian-Daniel (LPD) equation with a step-like initial data: $q_{0}(x)\rightarrow0$ as $x\rightarrow-\infty$ an
Externí odkaz:
http://arxiv.org/abs/2307.09783
Characteristics of rogue waves in the scalar and vector nonlocal nonlinear Schr\'{o}dinger equations
Autor:
Wang, Xiu-Bin, Tian, Shou-Fu
In this paper, general higher-order rogue wave solutions of the parity-time ($\mathcal {P}\mathcal {T}$) symmetric scalar and coupled nonlocal nonlinear Schr\"{o}dinger equations (NLSEs) are calculated theoretically via a Darboux transformation by a
Externí odkaz:
http://arxiv.org/abs/2212.02292
In this work, we are devoted to study the Cauchy problem of the Camassa-Holm (CH) equation with weighted Sobolev initial data in space-time solitonic regions \begin{align*} m_t+2\kappa q_x+3qq_x=2q_xq_{xx}+qq_{xx},~~m=q-q_{xx}+\kappa,\\ q(x,0)=q_0(x)
Externí odkaz:
http://arxiv.org/abs/2208.07015
We investigate the long-time asymptotic behavior for the Cauchy problem of the modified Camassa-Holm (mCH) equation with nonzero boundary conditions in different regions \begin{align*} &m_{t}+\left((u^2-u_x^2)m\right)_{x}=0,~~ m=u-u_{xx}, ~~ (x,t)\in
Externí odkaz:
http://arxiv.org/abs/2208.03878
In this work, we employ the $\bar{\partial}$-steepest descent method to investigate the Cauchy problem of the nonlocal nonlinear Schr\"{o}dinger (NNLS) equation with finite density type initial conditions in weighted Sobolev space $\mathcal{H}(\mathb
Externí odkaz:
http://arxiv.org/abs/2206.10382
In this work, we employ the $\bar{\partial}$-steepset descent method to study the Cauchy problem of the coupled dispersive AB system with initial conditions in weighted Sobolev space $H^{1,1}(\mathbb{R})$, \begin{align*} \left\{\begin{aligned} &A_{xt
Externí odkaz:
http://arxiv.org/abs/2205.04509
Autor:
Wu, Zhi-Jia, Tian, Shou-Fu
Publikováno v:
In Journal of Differential Equations 15 December 2024 412:408-446
Publikováno v:
In Physica D: Nonlinear Phenomena December 2024 470 Part A
Autor:
Wang, Xiu-Bin, Tian, Shou-Fu
The initial value problem for the general coupled Hirota system with nonzero boundary conditions at infinity is solved by reporting a rigorous theory of the inverse scattering transform. With the help of a suitable uniformization variable, both the i
Externí odkaz:
http://arxiv.org/abs/2203.09699