Research graph
References from High-order structure-preserving scheme for the Klein-Gordon-Zakharov system with the generalized scalar auxiliary variable. Local targets link to admitted publications; unresolved targets remain external evidence.
From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation
10.1142/s0219891605000683 · 2005 · External reference
High order energy invariant fast algorithm for space two dimensional Klein-Gordon-Zakharov equations
10.1016/j.camwa.2025.09.026 · 2026 · External reference
An exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system
10.1137/110855004 · 2013 · External reference
Equations of langmuir turbulence and nonlinear schrödinger equation: smoothness and approximation
10.1016/0022-1236(88)90036-5 · 1988 · External reference
Collapse of langmuir waves
1972 · External reference
On the new wave behavior to the Klein-Gordon-Zakharov equations in plasma physics
10.1007/s12648-018-1262-9 · 2019 · External reference
Separation transformation and a class of exact solutions to the higher-dimensional klein-gordon-zakharov equation
10.1155/2014/974050 · 2014 · External reference
1-soliton solution of the klein-gordon-zakharov equation with power law nonlinearity
10.1016/j.amc.2010.10.035 · 2010 · External reference
Normal form and global solutions for the klein-gordon-zakharov equations
10.1016/s0294-1449(16)30156-1 · 1995 · External reference
An unconditionally stable spectral-finite difference scheme for the nonlinear time-fractional Klein-Gordon-Zakharov system
2025 · External reference
Phase portrait, bifurcation and sensitivity analysis, chaotic pattern, variational principle, hamiltonian and new diverse wave solutions of the fractional Klein-Gordon-Zakharov system in plasma physics
10.1007/s12043-025-03073-5 · 2026 · External reference
High-order structure-preserving scheme for the space-fractional Klein-Gordon-Zakharov system via exponential fourier collocation approach
10.1007/s12190-025-02674-y · 2026 · External reference
Theoretical analysis of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system
10.1016/j.apnum.2019.06.018 · 2019 · External reference
Soliton solutions of the Klein-Gordon-Zakharov equations with power law nonlinearity
10.1016/j.amc.2013.10.093 · 2014 · External reference
Persistence of traveling wave solutions of the perturbed Klein-Gordon-Zakharov equations
10.1002/mma.70590 · 2026 · External reference
New exact traveling wave solutions for the klein-gordon-zakharov equations
10.1016/j.camwa.2007.10.033 · 2008 · External reference
From the Klein-Gordon-Zakharov system to a singular nonlinear schrödinger system
10.1016/j.anihpc.2010.02.002 · 2010 · External reference
From the Klein-Gordon-Zakharov system to the klein-gordon equation
10.1002/mma.3922 · 2016 · External reference
Error estimates of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime
10.1093/imanum/drx044 · 2018 · External reference
New solitary waves for the Klein-Gordon-Zakharov equations
10.1142/s0217984920502462 · 2020 · External reference
Unresolved reference
2010 · External reference
A new class of energy-preserving numerical integration methods
10.1088/1751-8113/41/4/045206 · 2008 · External reference
Unresolved reference
2016 · External reference
Line integral solution of hamiltonian pdes
10.3390/math7030275 · 2019 · External reference
Unresolved reference
2015 · External reference
Discrete variational derivative method: a structure-preserving numerical method for partial differential equations
10.1090/suga/435 · 2018 · External reference
Energy stable schemes for the klein-gordon-zakharov equations
10.1016/j.camwa.2023.07.011 · 2023 · External reference
On a nonlinear energy-conserving scalar auxiliary variable (sav) model for riesz space-fractional hyperbolic equations
10.1016/j.apnum.2021.02.013 · 2021 · External reference
Optimal error estimates of sav crank-nicolson finite element method for the coupled nonlinear schrödinger equation
10.1007/s10915-023-02384-2 · 2023 · External reference
Linear high-order energy-preserving schemes for the nonlinear schrödinger equation with wave operator using the scalar auxiliary variable approach
10.1007/s10915-021-01533-9 · 2021 · External reference
The scalar auxiliary variable (sav) approach for gradient flows
10.1016/j.jcp.2017.10.021 · 2018 · External reference
A linearly-implicit energy-preserving algorithm for the two-dimensional space-fractional nonlinear Schrödinger equation based on the sav approach
10.4208/jcm.2111-m2020-0177 · 2023 · External reference
Fast algorithm for nonlocal Allen–Cahn equation with scalar auxiliary variable approach
10.1016/j.aml.2021.107805 · 2022 · External reference
Energy-decaying erk-sav finite element methods for the time-dependent Ginzburg-Landau equations under the zero electric potential gauge
2026 · External reference
A new class of efficient and robust energy stable schemes for gradient flows
10.1137/17m1150153 · 2019 · External reference
Optimal error estimates of sav virtual element method for the coupled nonlinear Klein-Gordon equation
2025 · External reference
The exponential scalar auxiliary variable (e-sav) approach for phase field models and its explicit computing
10.1137/19m1305914 · 2020 · External reference
Structure-preserving exponential schemes with high accuracy for the 2d/3d nonlinear Schrödinger type equation
10.4208/aamm.oa-2023-0095 · 2025 · External reference
Generalized sav-exponential integrator schemes for allen-cahn type gradient flows
10.1137/21m1446496 · 2022 · External reference
Energy dissipation-preserving Gsav-Fourier-Galerkin spectral schemes for space-fractional nonlinear wave equations in multiple dimensions
10.1016/j.cnsns.2023.107587 · 2024 · External reference
Fully decoupled and high-order linearly implicit energy-preserving Rk-Gsav methods for the coupled nonlinear wave equation
10.1016/j.cam.2024.115836 · 2024 · External reference
Numerical simulation of klein-gordon-zakharov equations using conservative nonstandard finite difference method combined with scalar auxiliary variable scheme
2026 · External reference
Fully decoupled, linear, and energy-preserving gsav difference schemes for the nonlocal coupled sine-gordon equations in multiple dimensions
10.1007/s11075-023-01634-6 · 2024 · External reference
Unresolved reference
2006 · External reference
A predictor-corrector approach for the numerical solution of fractional differential equations
10.1023/a:1016592219341 · 2002 · External reference
A novel predictor-corrector hally technique for determining the parameters for nonlinear solar cell equation
10.1088/1742-6596/1879/2/022120 · 2021 · External reference
Unresolved reference
1994 · External reference
A conservative fourier pseudo-spectral method for the nonlinear schrödinger equation
10.1016/j.jcp.2016.10.022 · 2017 · External reference
From the Klein-Gordon-Zakharov system to the klein-gordon equation
10.1002/mma.3922 · ExternalCitation · doi-reference
Persistence of traveling wave solutions of the perturbed Klein-Gordon-Zakharov equations
10.1002/mma.70590 · ExternalCitation · doi-reference
Linear high-order energy-preserving schemes for the nonlinear schrödinger equation with wave operator using the scalar auxiliary variable approach
10.1007/s10915-021-01533-9 · ExternalCitation · doi-reference
Optimal error estimates of sav crank-nicolson finite element method for the coupled nonlinear schrödinger equation
10.1007/s10915-023-02384-2 · ExternalCitation · doi-reference
Fully decoupled, linear, and energy-preserving gsav difference schemes for the nonlocal coupled sine-gordon equations in multiple dimensions
10.1007/s11075-023-01634-6 · ExternalCitation · doi-reference
Phase portrait, bifurcation and sensitivity analysis, chaotic pattern, variational principle, hamiltonian and new diverse wave solutions of the fractional Klein-Gordon-Zakharov system in plasma physics
10.1007/s12043-025-03073-5 · ExternalCitation · doi-reference
High-order structure-preserving scheme for the space-fractional Klein-Gordon-Zakharov system via exponential fourier collocation approach
10.1007/s12190-025-02674-y · ExternalCitation · doi-reference
On the new wave behavior to the Klein-Gordon-Zakharov equations in plasma physics
10.1007/s12648-018-1262-9 · ExternalCitation · doi-reference
Equations of langmuir turbulence and nonlinear schrödinger equation: smoothness and approximation
10.1016/0022-1236(88)90036-5 · ExternalCitation · doi-reference
1-soliton solution of the klein-gordon-zakharov equation with power law nonlinearity
10.1016/j.amc.2010.10.035 · ExternalCitation · doi-reference
Soliton solutions of the Klein-Gordon-Zakharov equations with power law nonlinearity
10.1016/j.amc.2013.10.093 · ExternalCitation · doi-reference
Fast algorithm for nonlocal Allen–Cahn equation with scalar auxiliary variable approach
10.1016/j.aml.2021.107805 · ExternalCitation · doi-reference
From the Klein-Gordon-Zakharov system to a singular nonlinear schrödinger system
10.1016/j.anihpc.2010.02.002 · ExternalCitation · doi-reference
Theoretical analysis of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system
10.1016/j.apnum.2019.06.018 · ExternalCitation · doi-reference
On a nonlinear energy-conserving scalar auxiliary variable (sav) model for riesz space-fractional hyperbolic equations
10.1016/j.apnum.2021.02.013 · ExternalCitation · doi-reference
Fully decoupled and high-order linearly implicit energy-preserving Rk-Gsav methods for the coupled nonlinear wave equation
10.1016/j.cam.2024.115836 · ExternalCitation · doi-reference
New exact traveling wave solutions for the klein-gordon-zakharov equations
10.1016/j.camwa.2007.10.033 · ExternalCitation · doi-reference
Energy stable schemes for the klein-gordon-zakharov equations
10.1016/j.camwa.2023.07.011 · ExternalCitation · doi-reference
High order energy invariant fast algorithm for space two dimensional Klein-Gordon-Zakharov equations
10.1016/j.camwa.2025.09.026 · ExternalCitation · doi-reference
Energy dissipation-preserving Gsav-Fourier-Galerkin spectral schemes for space-fractional nonlinear wave equations in multiple dimensions
10.1016/j.cnsns.2023.107587 · ExternalCitation · doi-reference
A conservative fourier pseudo-spectral method for the nonlinear schrödinger equation
10.1016/j.jcp.2016.10.022 · ExternalCitation · doi-reference
The scalar auxiliary variable (sav) approach for gradient flows
10.1016/j.jcp.2017.10.021 · ExternalCitation · doi-reference
Normal form and global solutions for the klein-gordon-zakharov equations
10.1016/s0294-1449(16)30156-1 · ExternalCitation · doi-reference
A predictor-corrector approach for the numerical solution of fractional differential equations
10.1023/a:1016592219341 · ExternalCitation · doi-reference
A novel predictor-corrector hally technique for determining the parameters for nonlinear solar cell equation
10.1088/1742-6596/1879/2/022120 · ExternalCitation · doi-reference
A new class of energy-preserving numerical integration methods
10.1088/1751-8113/41/4/045206 · ExternalCitation · doi-reference
Discrete variational derivative method: a structure-preserving numerical method for partial differential equations
10.1090/suga/435 · ExternalCitation · doi-reference
Error estimates of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime
10.1093/imanum/drx044 · ExternalCitation · doi-reference
An exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system
10.1137/110855004 · ExternalCitation · doi-reference
A new class of efficient and robust energy stable schemes for gradient flows
10.1137/17m1150153 · ExternalCitation · doi-reference
The exponential scalar auxiliary variable (e-sav) approach for phase field models and its explicit computing
10.1137/19m1305914 · ExternalCitation · doi-reference
Generalized sav-exponential integrator schemes for allen-cahn type gradient flows
10.1137/21m1446496 · ExternalCitation · doi-reference
New solitary waves for the Klein-Gordon-Zakharov equations
10.1142/s0217984920502462 · ExternalCitation · doi-reference
From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation
10.1142/s0219891605000683 · ExternalCitation · doi-reference
Separation transformation and a class of exact solutions to the higher-dimensional klein-gordon-zakharov equation
10.1155/2014/974050 · ExternalCitation · doi-reference
Line integral solution of hamiltonian pdes
10.3390/math7030275 · ExternalCitation · doi-reference
Structure-preserving exponential schemes with high accuracy for the 2d/3d nonlinear Schrödinger type equation
10.4208/aamm.oa-2023-0095 · ExternalCitation · doi-reference
A linearly-implicit energy-preserving algorithm for the two-dimensional space-fractional nonlinear Schrödinger equation based on the sav approach
10.4208/jcm.2111-m2020-0177 · ExternalCitation · doi-reference