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Improved fractional sub-equation method for (3+1) -dimensional generalized fractional KdV–Zakharov–Kuznetsov equations

Computers & mathematics with applications (1987), 2015-07, Vol.70 (2), p.158-166

2015

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Modified Variational Iteration Technique for the Numerical ‎Solution of Fifth Order KdV-type Equations

Journal of applied and computational mechanics, 2020-12, Vol.6 (Special Issue), p.1220-1227

2020

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A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau–KdV equation and the Rosenau–RLW equation

Applied mathematics and computation, 2014-10, Vol.245, p.289-304

2014

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Reliable computation of the eigenvalues of the discrete KdV spectrum

Applied mathematics and computation, 2022-11, Vol.433, p.127361, Article 127361

2022

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New analytical solutions by the application of the modified double sub-equation method to the (1 + 1)-Schamel-KdV equation, the Gardner equation and the Burgers equation

Physica scripta, 2022-08, Vol.97 (8), p.85218

2022

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Consistent Riccati expansion solvability and soliton–cnoidal wave interaction solution of a (2+1)-dimensional Korteweg–de Vries equation

Applied mathematics letters, 2017-02, Vol.64, p.87-93

2017

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Explicit, periodic and dispersive soliton solutions to the Schamel-KdV equation with constant coefficients

Journal of ocean engineering and science, 2022-05

2022

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Localized and coherent waves’ propagation in a nonlinear dispersive medium: Computational simulations

Journal of ocean engineering and science, 2022-05

2022

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New (3+1)-dimensional conformable KdV equation and its analytical and numerical solutions

International journal of modern physics. B, Condensed matter physics, statistical physics, applied physics, 2024-02, Vol.38 (4)

2024

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Soliton-like solutions of general variable coefficient (2+1)-dimensional KdV equation with linear damping term

Applied mathematics letters, 2022-07, Vol.129, p.107929, Article 107929

2022

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The improved fractional sub-equation method and its applications to the space–time fractional differential equations in fluid mechanics

Physics letters. A, 2012-01, Vol.376 (4), p.407-411

2012

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Electron Acoustic Peregrine Breathers in a Quantum Plasma With 1-D Temperature Anisotropy

IEEE transactions on plasma science, 2022-06, Vol.50 (6), p.1598-1609

2022

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Numerical simulation of fifth order KdV equations occurring in magneto-acoustic waves

Ain Shams Engineering Journal, 2018-12, Vol.9 (4), p.2265-2273

2018

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On the boundary stabilization of the KdV–KdV system with time-dependent delay

Nonlinear analysis: real world applications, 2024-10, Vol.79, p.104122, Article 104122

2024

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Nonautonomous characteristics of lump solutions for a (2+1)-dimensional Korteweg–de Vries equation with variable coefficients

Applied mathematics letters, 2019-10, Vol.96, p.33-39

2019

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A new integrable equation that combines the KdV equation with the negative‐order KdV equation

Mathematical methods in the applied sciences, 2018-01, Vol.41 (1), p.80-87

Wazwaz, Abdul‐Majid

2018

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Resonant multi-soliton solutions to the (2 + 1)-dimensional Sawada-Kotera equations via the simplified form of the linear superposition principle

Physica scripta, 2019-08, Vol.94 (8), p.85218

Kuo, Chun-Ku

2019

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Variational principles for two kinds of non-linear geophysical KdV equation with fractal derivatives

Thermal science, 2022, Vol.26 (3 Part B), p.2505-2515

2022

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Multiple soliton solutions and other exact solutions for a two‐mode KdV equation

Mathematical methods in the applied sciences, 2017-04, Vol.40 (6), p.2277-2283

Wazwaz, Abdul‐Majid

2017

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Bifurcation Analysis for Small-Amplitude Nonlinear and Supernonlinear Ion-Acoustic Waves in a Superthermal Plasma

Zeitschrift für Naturforschung. A, A journal of physical sciences, 2020-03, Vol.75 (3), p.183-191

2020

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The application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation

Physics letters. A, 2007-02, Vol.361 (6), p.478-483

Abbasbandy, S.

2007

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An Efficient Meshfree Numerical Technique to Solve Fractional Schamel-KdV Equation for Ion-Acoustic Solitary Waves in Dusty Plasma

IEEE transactions on plasma science, 2023-07, Vol.51 (7), p.2055-2068

2023

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Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform

Wave motion, 2022-05, Vol.111, p.102905, Article 102905

2022

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A combined meshfree exponential Rosenbrock integrator for the third‐order dispersive partial differential equations

Numerical methods for partial differential equations, 2021-05, Vol.37 (3), p.2458-2468

Koçak, Hüseyin

2021

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Ergodicity of stochastic damped higher-order KdV equation driven by white noise

Applied mathematics letters, 2020-12, Vol.110, p.106575, Article 106575

2020

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Improved fractional sub-equation method for (3+1) -dimensional generalized fractional KdV–Zakharov–Kuznetsov equations

Modified Variational Iteration Technique for the Numerical ‎Solution of Fifth Order KdV-type Equations

A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau–KdV equation and the Rosenau–RLW equation

Reliable computation of the eigenvalues of the discrete KdV spectrum

New analytical solutions by the application of the modified double sub-equation method to the (1 + 1)-Schamel-KdV equation, the Gardner equation and the Burgers equation

Consistent Riccati expansion solvability and soliton–cnoidal wave interaction solution of a (2+1)-dimensional Korteweg–de Vries equation

Explicit, periodic and dispersive soliton solutions to the Schamel-KdV equation with constant coefficients

Localized and coherent waves’ propagation in a nonlinear dispersive medium: Computational simulations

New (3+1)-dimensional conformable KdV equation and its analytical and numerical solutions

Soliton-like solutions of general variable coefficient (2+1)-dimensional KdV equation with linear damping term

The improved fractional sub-equation method and its applications to the space–time fractional differential equations in fluid mechanics

Electron Acoustic Peregrine Breathers in a Quantum Plasma With 1-D Temperature Anisotropy

Numerical simulation of fifth order KdV equations occurring in magneto-acoustic waves

On the boundary stabilization of the KdV–KdV system with time-dependent delay

Nonautonomous characteristics of lump solutions for a (2+1)-dimensional Korteweg–de Vries equation with variable coefficients

A new integrable equation that combines the KdV equation with the negative‐order KdV equation

Resonant multi-soliton solutions to the (2 + 1)-dimensional Sawada-Kotera equations via the simplified form of the linear superposition principle

Variational principles for two kinds of non-linear geophysical KdV equation with fractal derivatives

Multiple soliton solutions and other exact solutions for a two‐mode KdV equation

Bifurcation Analysis for Small-Amplitude Nonlinear and Supernonlinear Ion-Acoustic Waves in a Superthermal Plasma

The application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation

An Efficient Meshfree Numerical Technique to Solve Fractional Schamel-KdV Equation for Ion-Acoustic Solitary Waves in Dusty Plasma

Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform

A combined meshfree exponential Rosenbrock integrator for the third‐order dispersive partial differential equations

Ergodicity of stochastic damped higher-order KdV equation driven by white noise

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