Results 11 to 20 of about 117 (95)
New Soliton Applications in Earth's Magnetotail Plasma at Critical Densities
New plasma wave solutions of the modified Kadomtsev Petviashvili (MKP) equation are presented. These solutions are written in terms of some elementary functions, including trigonometric, rational, hyperbolic, periodic, and explosive functions.
Hesham G. Abdelwahed +6 more
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Diffusion–convection reaction equations with sign-changing diffusivity and bistable reaction term [PDF]
We consider a reaction-diffusion equation with a convection term in one space variable, where the diffusion changes sign from the positive to the negative and the reaction term is bistable.
Diego Berti, A. Corli, L. Malaguti
semanticscholar +1 more source
Solitary Wave Solutions for a Generalized KdV Equation with High Power Nonlinearities
In current paper, a generalized KdV equation with high order nonlinearities has been investigated by the expansion and the ansatz method. The obtained solutions can be classified as periodic soliton solution, kink solution, triangular soliton solution ...
Rui Wu +7 more
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Propagation and blocking in a two-patch reaction-diffusion model [PDF]
This paper is concerned with propagation phenomena for the solutions of the Cauchy problem associated with a two-patch one-dimensional reaction-diffusion model.
F. Hamel, F. Lutscher, Mingmin Zhang
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In this paper, we propose a new fractional Jacobi elliptic equation method to seek exact solutions of fractional partial differential equations. Based on a traveling wave transformation, certain fractional partial differential equation can be turned into
B. Zheng
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Invasion traveling wave solutions of a competitive system with dispersal
This paper is concerned with the invasion traveling wave solutions of a Lotka-Volterra type competition system with nonlocal dispersal, the purpose of which is to formulate the dynamics between the resident and the invader.
Shuxia Pan, G. Lin
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Travelling waves due to negative plant-soil feedbacks in a model including tree life-stages
The emergence and maintenance of tree species diversity in tropical forests is commonly attributed to the Janzen-Connell (JC) hypothesis, which states that growth of seedlings is suppressed in the proximity of conspecific adult trees.
A. Iuorio +5 more
semanticscholar +1 more source
This work aims to construct exact solutions for the space-time fractional (2 + 1)- dimensional dispersive longwave (DLW) equation and approximate long water wave equation (ALW) utilizing the two-variable (G′/G,1/G)-expansion method and the modified ...
Mohammad Asif Arefin +3 more
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The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun +4 more
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Exact solitary wave solutions of fractional modified Camassa-Holm equation using an efficient method
In this work, a competent and efficient technique namely Exp-function method is used to find the solitary wave solutions of time fractional simplified modified Camassa-Holm equation (CH-equation).
Aniqa Zulfiqar, Jamshad Ahmad
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