Nan Liu

发表

THIRD ORDER BOUNDARY VALUE PROBLEM WITH FINITE SPECTRUM ON TIME SCALES

Ji-jun Ao, Nan Liu, 2020 .

Modulational instability and dynamics of rational soliton solutions for the coupled Volterra lattice equation associated with $$4\times 4$$4×4 Lax pair

Nan Liu, Xiaoyong Wen, 2019, Pramana.

A Riemann–Hilbert approach for the modified short pulse equation

B. Guo, Nan Liu, 2019 .

Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform

Nan Liu, Z. Xuan, Jinyi Sun, 2021, Applied Mathematics Letters.

Asymptotics of solutions to a fifth-order modified Korteweg–de Vries equation in the quarter plane

B. Guo, Nan Liu, 2020 .

Long-time asymptotic behavior for an extended modified Korteweg-de Vries equation

B. Guo, Nan Liu, Yu-Feng Wang, 2019, Communications in Mathematical Sciences.

Analytical solutions of Skyrme model

Nan Liu, Ruifeng Zhang, Manashov An, 2016 .

Unconditionally optimal H1-norm error estimates of a fast and linearized Galerkin method for nonlinear subdiffusion equations

Y. Yang, Nan Liu, Hongyu Qin, 2022, Comput. Math. Appl..

Painlevé-type asymptotics of an extended modified KdV equation in transition regions

B. Guo, Nan Liu, 2021 .

The Riemann–Hilbert problem to coupled nonlinear Schrödinger equation: Long-time dynamics on the half-line

B. Guo, Nan Liu, 2019, Journal of Nonlinear Mathematical Physics.

Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations

Nan Liu, Yue Yu, Shiju Jin, 2022, J. Comput. Phys..

Riemann-Hilbert problem for a fourth-order dispersive nonlinear Schrödinger equation on the half-line

B. Guo, Nan Liu, Yu-Feng Wang, 2020 .

Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method

B. Guo, Nan Liu, 2018, Journal of Mathematical Physics.

Long-time asymptotics for the Hirota equation on the half-line

B. Guo, Nan Liu, Yu-Feng Wang, 2018, Nonlinear Analysis.

Long-time asymptotics for the Kundu–Eckhaus equation on the half-line

B. Guo, Nan Liu, 2017, Journal of Mathematical Physics.

Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves

Nan Liu, Xiaoyong Wen, Ling Xu, 2018, Advances in Difference Equations.

Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann–Hilbert approach

B. Guo, Nan Liu, 2020 .

A Riemann–Hilbert approach for a new type coupled nonlinear Schrödinger equations

Nan Liu, Boling Guo, B. Guo, 2018 .

Fission and fusion interaction phenomena of the discrete kink multi-soliton solutions for the Chen–Lee–Liu lattice equation

Nan Liu, Xiaoyong Wen, Yaqing Liu, 2018, Modern Physics Letters B.

Dynamics and elastic interactions of the discrete multi-dark soliton solutions for the Kaup–Newell lattice equation

Nan Liu, Xiaoyong Wen, 2018 .

Long-time asymptotics for the initial-boundary value problem of coupled Hirota equation on the half-line

B. Guo, Nan Liu, 2020 .

The multi-soliton and multiple-poles soliton solutions for the six-order nonlinear Schrödinger equation

Nan Liu, Mengtao Xu, Chunxiao Guo, 2021, Nonlinear Dynamics.

The Gerdjikov‐Ivanov–type derivative nonlinear Schrödinger equation: Long‐time dynamics of nonzero boundary conditions

B. Guo, Nan Liu, 2018, Mathematical Methods in the Applied Sciences.

Existence of the positive composite optical vortices

Nan Liu, Ruifeng Zhang, 2017 .

Long‐time asymptotic behavior of the fifth‐order modified KdV equation in low regularity spaces

B. Guo, Nan Liu, Mingjuan Chen, 2019, Studies in Applied Mathematics.

Soliton and breather solutions for a fifth-order modified KdV equation with a nonzero background

Nan Liu, Nan Liu, 2020, Appl. Math. Lett..

Optical rogue waves for the coherently coupled nonlinear Schrödinger equation with alternate signs of nonlinearities

Nan Liu, Yu-Feng Wang, Bo-Ling Guo, 2018, Appl. Math. Lett..

Long-time asymptotic behavior for a fourth-order dispersive nonlinear Schrödinger equation

B. Guo, Nan Liu, Yu-Feng Wang, 2022 .

Long-time asymptotics for the initial-boundary value problem of coupled Hirota equation on the half-line

B. Guo, Nan Liu, 2020, Science China Mathematics.

Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann–Hilbert approach

B. Guo, Nan Liu, 2020, Nonlinear Dynamics.

Three types of weak pullback attractors for lattice pseudo-parabolic equations driven by locally Lipschitz noise

Nan Liu, Xin Li, Renhai Wang, 2021, Electronic Research Archive.

Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves

Nan Liu, Xiaoyong Wen, Ling Xu, 2018, Advances in Difference Equations.

Long-time asymptotic behavior for the matrix modified Korteweg–de Vries equation

B. Guo, Nan Liu, Xiaodan Zhao, 2022, Physica D: Nonlinear Phenomena.

Dynamics of higher‐order rational and semi‐rational soliton solutions of the coupled modified KdV lattice equation

Nan Liu, Xiaoyong Wen, Nan Liu, 2022, Mathematical Methods in the Applied Sciences.

An integrable lattice hierarchy associated with a 4 × 4 matrix spectral problem: N-fold Darboux transformation and dynamical properties

Ling Liu, Xiao-Yong Wen, Tao Jiang, 2020, Appl. Math. Comput..

Unconditionally optimal H^1-error estimate of a fast nonuniform L2-1_σ scheme for nonlinear subdiffusion equations

Yanping Chen, Nan Liu, Jiwei Zhang, 2022, Numerical Algorithms.

Inverse scattering for the derivative nonlinear Schrödinger equation with nonzero boundary conditions and triple poles

Nan Liu, Jia-dong Yu, 2022, Applied Mathematics Letters.

Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform

Nan Liu, Z. Xuan, Jinyi Sun, 2022, Appl. Math. Lett..

Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations

Nan Liu, Chengchao Zhao, Yuheng Ma, 2022, Communications in Mathematical Sciences.