Results 11 to 20 of about 88 (67)
Advances in Differential Equations, 2014 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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Travelling waves due to negative plant-soil feedbacks in a model including tree life-stages
bioRxiv, 2023 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
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Invasion traveling wave solutions of a competitive system with dispersal
Boundary Value Problems, 2012 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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Lie analysis, conserved quantities and solitonic structures of Calogero-Degasperis-Fokas equation
Alexandria Engineering Journal, 2021 The paper investigates Calogero-Degasperis-Fokas (CDF) equation, an exactly solvable third order nonlinear evolution equation (Fokas, 1980). All possible functions for the unknown function F(ν) in the considered equation are listed that contains the ...
Adil Jhangeer +5 more
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Journal of Ocean Engineering and Science, 2022 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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Journal of Ocean Engineering and Science, 2022 This paper systematically investigates the exact solutions to an extended (2+1)-dimensional Boussinesq equation, which arises in several physical applications, including the propagation of shallow-water waves, with the help of the Lie symmetry analysis ...
Sachin Kumar, Setu Rani
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Exact solitary wave solutions of fractional modified Camassa-Holm equation using an efficient method
Alexandria Engineering Journal, 2020 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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Results in Physics, 2021 The computational solutions for the fractional mathematical system form of the HIV-1 infection of CD4+ T-cells are investigated by employing three recent analytical schemes along the Atangana–Baleanu fractional (ABF) derivative. This model is affected by
Mostafa M.A. Khater +2 more
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Alexandria Engineering Journal, 2022 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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GLOBAL NEARLY-PLANE-SYMMETRIC SOLUTIONS TO THE MEMBRANE EQUATION
Forum of Mathematics, Pi, 2020 We prove that any simple planar travelling wave solution to the membrane equation in spatial dimension $d\geqslant 3$ with bounded spatial extent is globally nonlinearly stable under sufficiently small compactly supported perturbations, where the ...
LEONARDO ABBRESCIA +1 more
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