Results 41 to 49 of about 520 (49)

Study of the parametric effect of the wave profiles of the time-space fractional soliton neuron model equation arising in the topic of neuroscience

Partial Differential Equations in Applied Mathematics
Time-space fractional nonlinear problems (T-SFNLPs) play a crucial role in the study of nonlinear wave propagation. Time-space nonlinearity is prevalent across various fields of applied science, nonlinear dynamics, mathematical physics, and engineering ...
Md. Nur Alam, Md. Azizur Rahman
doaj   +1 more source

On integrability aspects of the supersymmetric sine-Gordon equation

, 2017
In this paper we study certain integrability properties of the supersymmetric sine-Gordon equation. We construct Lax pairs with their zero-curvature representations which are equivalent to the supersymmetric sine-Gordon equation.
Bertrand, Sébastien
core   +1 more source

Soliton solution of the osmosis K(2, 2) equation

, 2009
In this Letter, by using the bifurcation method of dynamical systems, we obtain the analytic expressions of soliton solution of the osmosis K(2, 2) equation.Comment: 8 ...
Biswas, Jiangbo Zhou, Lixin Tian, Luo, Rosenau, Wazwaz, Wazwaz, Wazwaz, Xu, Yan, Zhu   +10 more
core   +1 more source

Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense

Partial Differential Equations in Applied Mathematics
This study examines how Stratonovich integrals (SIs) affect the solutions of the Heisenberg ferromagnetic spin chain (HFSC) equation using the modified (G'/G)-expansion (MG'/GE) scheme.
Md. Nur Alam
doaj   +1 more source

Soliton Fay identities. I. Dark soliton case

, 2014
We derive a set of bilinear identities for the determinants of the matrices that have been used to construct the dark soliton solutions for various models.
Vekslerchik, V. E.
core   +1 more source

Computational and numerical wave solutions of the Caudrey-Dodd-Gibbon equation. [PDF]

Heliyon, 2023
Khater MMA.
europepmc   +1 more source

Integrability and Linear Stability of Nonlinear Waves. [PDF]

J Nonlinear Sci, 2018
Degasperis A, Lombardo S, Sommacal M.
europepmc   +1 more source

Solitary wave and other solutions for nonlinear heat equations

Open Mathematics, 2004
Nikitin Anatoly, Barannyk Tetyana
doaj   +1 more source

Chaotic and quasi-periodic dynamics in fractional-order nonlinear wave systems within dispersive-dissipative media. [PDF]

Sci Rep
Mohammed WW, Gassem F, Sidaoui R, Vokhmintsev A, Khater MMA.   +4 more
europepmc   +1 more source