Results 21 to 30 of about 530 (52)

New Soliton Applications in Earth's Magnetotail Plasma at Critical Densities

Frontiers in Physics, 2020
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, Mahmoud A. E. Abdelrahman, Mahmoud A. E. Abdelrahman, Mustafa Inc, Mustafa Inc, R. Sabry, R. Sabry   +6 more
doaj   +1 more source

Kinky periodic pulse and interaction of bell wave with kink pulse wave propagation in nerve fibers and wall motion in liquid crystals

Partial Differential Equations in Applied Mathematics, 2020
In this article, we apply a direct influential approach namely enhanced modified simple equation (EMSE) method to integrate the Burgers–Huxley (BH) and FitzHugh–Nagumo (FHN) equations which explain nerve pulse propagation in nerve fibers, circuit theory ...
Md. Mamunur Roshid, Harun-Or-Roshid, M. Zulfikar Ali, Hadi Rezazadeh   +3 more
doaj   +1 more source

(Non)linear instability of periodic traveling waves: Klein–Gordon and KdV type equations

Advances in Nonlinear Analysis, 2014
We prove the existence and nonlinear instability of periodic traveling wave solutions for the critical one-dimensional Klein–Gordon equation. We also establish a linear instability criterium for a KdV type system.
Angulo Pava Jaime, Natali Fabio
doaj   +1 more source

Efficient numerical scheme based on the method of lines for the shallow water equations

Journal of Ocean Engineering and Science, 2018
In this paper, a nonlinear shallow-water model of tsunami wave propagation at different points along a coastline of an ocean has been numerically simulated using method of lines.
Mohamed M. Mousa
doaj   +1 more source

On new computational and numerical solutions of the modified Zakharov–Kuznetsov equation arising in electrical engineering

Alexandria Engineering Journal, 2020
In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park, Mostafa M.A. Khater, Abdel-Haleem Abdel-Aty, Raghda A.M. Attia, Dianchen Lu   +4 more
doaj   +1 more source

Multi-solitons for nonlinear Klein–Gordon equations

Forum of Mathematics, Sigma, 2014
In this paper, we consider the existence of multi-soliton structures for the nonlinear Klein–Gordon (NLKG) equation in $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\
RAPHAËL CÔTE, CLAUDIO MUÑOZ
doaj   +1 more source

Inverse Scattering Transform for the Camassa-Holm equation [PDF]

, 2006
An Inverse Scattering Method is developed for the Camassa-Holm equation. As an illustration of our approach the solutions corresponding to the reflectionless potentials are explicitly constructed in terms of the scattering data.
Adrian Constantin, Beals R, Bennewitz C, Birkhoff G, Camassa R, Constantin A, Constantin A, Constantin A, Gesztesy F, Hone A, Ivanov R I, Johnson R S, Lenells J, Lenells J, Li Y, Li Y, Novikov S P, Parker A, Parker A, Parker A, Rossen I Ivanov, Vladimir S Gerdjikov   +21 more
core   +5 more sources

On the central quadric ansatz: integrable models and Painleve reductions [PDF]

, 2012
It was observed by Tod and later by Dunajski and Tod that the Boyer-Finley (BF) and the dispersionless Kadomtsev-Petviashvili (dKP) equations possess solutions whose level surfaces are central quadrics in the space of independent variables (the so-called
A Zhang, B Huard, Calderbank D M J, Dryuma V, Dunajski M, E V Ferapontov, Ferapontov E V, Grundland A M, Huard B, Pavlov M V, Tod K P, Tsarev S P   +11 more
core   +2 more sources

Explicit solutions to the Korteweg-de Vries equation on the half line [PDF]

, 2006
Certain explicit solutions to the Korteweg-de Vries equation in the first quadrant of the $xt$-plane are presented. Such solutions involve algebraic combinations of truly elementary functions, and their initial values correspond to rational reflection ...
Ablowitz M J, Ablowitz M J, Aktosun T, Aktosun T, Bart H, Carl B, Chadan K, Coddington E A, Cornelis van der Mee, Deift P, Faddeev L D, Hirota R, Huang N N, Konopel'chenko B G, Marchenko V A, Marchenko V A, Matveev V B, Treibich A, Tuncay Aktosun   +18 more
core   +2 more sources

Functional representation of the negative AKNS hierarchy [PDF]

, 2012
This paper is devoted to the negative flows of the AKNS hierarchy. The main result of this work is the functional representation of the extended AKNS hierarchy, composed of both positive (classical) and negative flows.
Vekslerchik, V. E.
core   +1 more source