Journal ArticleDOI
Numerical simulations of Zakharov’s (ZK) non-dimensional equation arising in Langmuir and ion-acoustic waves
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The trigonometric quintic B-spline scheme was used in this paper to solve the ZK nonlinear dimensional equation and explain the relati cation of the relatio cation.Abstract:
The trigonometric quintic B-spline scheme is used in this research paper to research Zakharov’s (ZK) nonlinear dimensional equation’s numerical solution. The ZK model’s solutions explain the relati...read more
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Lax representation and bi-Hamiltonian structure of nonlinear Qiao model
TL;DR: In this paper , a generalized extended tanh-function method is employed to construct novel soliton wave solutions of the nonlinear Qiao model, where the stable property of the obtained solutions is examined along with the Hamiltonian system's characterizations.
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Nonparaxial pulse propagation in a planar waveguide with Kerr–like and quintic nonlinearities; computational simulations
TL;DR: In this paper , some novel soliton wave solutions are obtained and formulated in distinct forms such as rational, hyperbolic, and trigonometric forms to show the physical and dynamical behavior of the nonparaxial pulse propagation.
Journal ArticleDOI
Physics of crystal lattices and plasma; analytical and numerical simulations of the Gilson–Pickering equation
TL;DR: A variety of evolution equations have been developed from the Gilson-Pickering (GP) model, including the Fornberg-Whitham (FW) equation, the Rosenau-Hyman (RH) equation and the Fuchssteiner-Fokas-Camassa-Holm (FFCH) equation as discussed by the authors .
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Abundant exact traveling wave solutions to the local fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
TL;DR: Based on the local fractional derivative, the authors developed a new Boiti-Leon-Manna-Pempinelli equation with the help of the traveling wave transform of the nondifferentiable type, and then the Mittag-Leffler function was used to construct the abundant non-differentiable exact traveling wave solutions.
Journal ArticleDOI
Onset about non-isothermal flow of Williamson liquid over exponential surface by computing numerical simulation in perspective of Cattaneo Christov heat flux theory
TL;DR: In this paper , Cattaneo-Christov heat flux law exhibits hyperbolic equation which follows the causality principle and make the problem more compatible to real world applications.
References
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Journal ArticleDOI
The extended tanh method for abundant solitary wave solutions of nonlinear wave equations
TL;DR: The extended tanh method is used to establish abundant solitary wave solutions of nonlinear wave equations that include solitons, kinks and plane periodic solutions.
Journal ArticleDOI
On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov-Petrovskii-Piskunov (KPP) equation
TL;DR: In this paper, semi-analytical and numerical solutions of the time-fractional nonlinear Kolmogorov-Petrovskii-Piskunov (KPP) equation using the Caputo-Fabrizio fractional derivative and expanded Riccati -expansion process are investigated to determine the sufficient conditions for the implementation of the above-suggested schemes.
Journal ArticleDOI
Analytical and semi-analytical ample solutions of the higher-order nonlinear Schrödinger equation with the non-Kerr nonlinear term
Mostafa M. A. Khater,Mostafa M. A. Khater,Raghda A. M. Attia,Raghda A. M. Attia,Abdel-Haleem Abdel-Aty,M.A. Abdou,Hichem Eleuch,Hichem Eleuch,Dianchen Lu +8 more
TL;DR: In this article, the authors investigated distinct analytical and semi-analytical solutions of the higher-order nonlinear Schrodinger equation with the non-Kerr nonlinear term by the employment of there different schemes.
Journal ArticleDOI
Analytical versus numerical solutions of the nonlinear fractional time–space telegraph equation
Mostafa M. A. Khater,Dianchen Lu +1 more
TL;DR: In this paper, the stable analytical solutions' accuracy of the nonlinear fractional nonlinear time-space telegraph (FNLTST) equation was investigated along with applying the trigonometric-quantic-B...
Journal ArticleDOI
Analytical and semi-analytical solutions for Phi-four equation through three recent schemes
TL;DR: In this article, the analytical and semi-analytical solutions of nonlinear phi-four (PF) equation were investigated by applying the sech-tanh expansion method, modified Ψ ′ Ψ -expansion method and Adomian decomposition method.
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