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The ( G ′ / G ) -expansion method for finding traveling wave solutions of nonlinear partial differential equations in mathematical physics

Journal of mathematical physics, 2009, Vol.50 (1), p.013502-013502-12

2009

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Dispersive Optical Solitons to Stochastic Resonant NLSE with Both Spatio-Temporal and Inter-Modal Dispersions Having Multiplicative White Noise

Mathematics (Basel), 2022-09, Vol.10 (17), p.3197

2022

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Applications of an Extended (G'/G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Mathematical Physics

Mathematical Problems in Engineering, 2010-01, Vol.2010 (1)

2010

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The Two-Variable (G'/G, 1/G)-Expansion Method for Solving the Nonlinear KdV-mKdV Equation

Mathematical Problems in Engineering, 2012-01, Vol.2012, p.1-14

2012

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Highly Dispersive Optical Solitons in Fiber Bragg Gratings with Kerr Law of Nonlinear Refractive Index

Mathematics (Basel), 2022-08, Vol.10 (16), p.2968

2022

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A Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations

Mathematical Problems in Engineering, 2012-01, Vol.2012, p.1-22

2012

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Traveling Wave Solutions of the Nonlinear (3 + 1)-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables (G'/G, 1/G)-Expansion Method

Journal of Applied Mathematics, 2012-01, Vol.2012, p.1-8

2012

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Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms

Mathematics (Basel), 2021-12, Vol.9 (24), p.3270

2021

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Inequalities and Separation for a Biharmonic Laplace-Beltrami Differential Operator in a Hilbert Space Associated with the Existence and Uniqueness Theorem

Journal of partial differential equations, 2016-06, Vol.29 (1), p.59-70

E., Zayed E. M.

2016

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Optical soliton solutions for the generalized Kudryashov equation of propagation pulse in optical fiber with power nonlinearities by three integration algorithms

Mathematical methods in the applied sciences, 2021-01, Vol.44 (1), p.315-324

2021

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Some applications of the (G' G)-expansion method to non-linear partial differential equations

Applied mathematics and computation, 2009-06, Vol.212 (1), p.1-13

2009

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The ( -expansion method and its applications to some nonlinear evolution equations in the mathematical physics

Journal of applied mathematics & computing, 2009-05, Vol.30 (1-2), p.89-103

Zayed, E. M. E.

2009

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Comment on the article published in Math Meth Appl Sci. 2021;44:2682–2691

Mathematical methods in the applied sciences, 2024-01, Vol.47 (1), p.562-564

2024

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A note on the modified simple equation method applied to Sharma–Tasso–Olver equation

Applied mathematics and computation, 2011-12, Vol.218 (7), p.3962-3964

Zayed, Elsayed M.E.

2011

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Dispersive optical soliton solutions in birefringent fibers with stochastic Kaup–Newell equation having multiplicative white noise

Mathematical methods in the applied sciences, 2024-01, Vol.47 (1), p.352-370

2024

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Solitons and Other Solutions for the Generalized KdV–mKdV Equation with Higher-order Nonlinear Terms

Journal of partial differential equations, 2016-06, Vol.29 (3), p.218-245

E., Zayed Elsayd M.

2016

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The ( G ' / G , 1 / G ) -Expansion Method and Its Applications for Solving Two Higher Order Nonlinear Evolution Equations

Mathematical problems in engineering, 2014-01, Vol.2014, p.1-20

2014

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The (G′/G,1/G)-Expansion Method and Its Applications to Find the Exact Solutions of Nonlinear PDEs for Nanobiosciences

Mathematical problems in engineering, 2014-01, Vol.2014, p.1-10

2014

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On solving the (3+1)-dimensional NLEQZK equation and the (3+1)-dimensional NLmZK equation using the extended simplest equation method

Computers & mathematics with applications (1987), 2019-11, Vol.78 (10), p.3390-3407

2019

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Solitons and other solutions for higher-order NLS equation and quantum ZK equation using the extended simplest equation method

Computers & mathematics with applications (1987), 2018-11, Vol.76 (9), p.2286-2303

2018

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Dispersive optical soliton solutions with the concatenation model incorporating quintic order dispersion using three distinct schemes

AIMS mathematics, 2024-01, Vol.9 (4), p.8961-8980

2024

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Separation for the biharmonic differential operator in the Hilbert space associated with the existence and uniqueness theorem

Journal of mathematical analysis and applications, 2008, Vol.337 (1), p.659-666

Zayed, E.M.E.

2008

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Many Families of Exact Solutions for Nonlinear System of Partial Differential Equations Describing the Dynamics of DNA

Journal of partial differential equations, 2013-12, Vol.26 (4), p.373-384

sci, Elsayed M. E. Zayed and Ahmed H. Arnous

2013

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The Homotopy Perturbation Method and the Adomian Decomposition Method for the Nonlinear Coupled Equations

Journal of partial differential equations, 2009-11, Vol.22 (4), p.334-351

M., Zayed E. M. E. and Abdel Rahman H.

2009

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Extended auxiliary equation method and its applications for finding the exact solutions for a class of nonlinear Schrödinger-type equations

Applied mathematics and computation, 2016-10, Vol.289, p.111-131

2016

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The ( G ′ / G ) -expansion method for finding traveling wave solutions of nonlinear partial differential equations in mathematical physics

Dispersive Optical Solitons to Stochastic Resonant NLSE with Both Spatio-Temporal and Inter-Modal Dispersions Having Multiplicative White Noise

Applications of an Extended (G'/G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Mathematical Physics

The Two-Variable (G'/G, 1/G)-Expansion Method for Solving the Nonlinear KdV-mKdV Equation

Highly Dispersive Optical Solitons in Fiber Bragg Gratings with Kerr Law of Nonlinear Refractive Index

A Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations

Traveling Wave Solutions of the Nonlinear (3 + 1)-Dimensional Kadomtsev-Petviashvili Equation Using the Two Variables (G'/G, 1/G)-Expansion Method

Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms

Inequalities and Separation for a Biharmonic Laplace-Beltrami Differential Operator in a Hilbert Space Associated with the Existence and Uniqueness Theorem

Optical soliton solutions for the generalized Kudryashov equation of propagation pulse in optical fiber with power nonlinearities by three integration algorithms

Some applications of the (G' G)-expansion method to non-linear partial differential equations

The ( -expansion method and its applications to some nonlinear evolution equations in the mathematical physics

Comment on the article published in Math Meth Appl Sci. 2021;44:2682–2691

A note on the modified simple equation method applied to Sharma–Tasso–Olver equation

Dispersive optical soliton solutions in birefringent fibers with stochastic Kaup–Newell equation having multiplicative white noise

Solitons and Other Solutions for the Generalized KdV–mKdV Equation with Higher-order Nonlinear Terms

The ( G ' / G , 1 / G ) -Expansion Method and Its Applications for Solving Two Higher Order Nonlinear Evolution Equations

The (G′/G,1/G)-Expansion Method and Its Applications to Find the Exact Solutions of Nonlinear PDEs for Nanobiosciences

On solving the (3+1)-dimensional NLEQZK equation and the (3+1)-dimensional NLmZK equation using the extended simplest equation method

Solitons and other solutions for higher-order NLS equation and quantum ZK equation using the extended simplest equation method

Dispersive optical soliton solutions with the concatenation model incorporating quintic order dispersion using three distinct schemes

Separation for the biharmonic differential operator in the Hilbert space associated with the existence and uniqueness theorem

Many Families of Exact Solutions for Nonlinear System of Partial Differential Equations Describing the Dynamics of DNA

The Homotopy Perturbation Method and the Adomian Decomposition Method for the Nonlinear Coupled Equations

Extended auxiliary equation method and its applications for finding the exact solutions for a class of nonlinear Schrödinger-type equations

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