Results 51 to 60 of about 468 (168)
Hirota method for solving reaction-diffusion equations with generalized nonlinearity [PDF]
, 2006 The Hirota Method is applied to find an exact solitary wave solution to evolution equation with generalized nonlinearity. By introducing the power form of Hirota ansatz the bilinear representation for this equation is derived and the traveling wave ...
Tanoğlu, Gamze
core +2 more sources
Complexity, Volume 2026, Issue 1, 2026.In this paper, we investigate the exact stochastic solutions of the (2 + 1)‐dimensional stochastic fractional‐space breaking soliton equation (SFSBSE) involving the truncated M‐fractional derivative in space. This equation models a range of physical phenomena, including fluid wave propagation, shallow water dynamics, and plasma physics, under the ...
Fatma Nur Kaya Sağlam +4 more
wiley +1 more source
Hirota-sato formalism on some nonlinear waves equations [PDF]
, 2013 This article demonstrates that Hirota’s direct method or scheme for solving nonlinear waves equation is linked to Sato theory, and eventually resulted in the Sato equation.
Abdul Aziz, Zainal, Ali, Noor Aslinda
core +1 more source
Linear Subspaces of Solutions Applied to Hirota Bilinear Equation
Aceh International Journal of Science and Technology, 2012 Linear subspace of solution is applied to Boussinesq and Kadomtseve-Petviashvili (KP) equations using Hirota bilinear transformation. A sufficient and necessary condition for the existence of linear subspaces of exponential travelling wave solutions to ...
M. Y. Adamu, E. Suleiman
doaj
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study investigates the stochastic fractional new coupled Konno–Oono equation with external forced multiplicative noise, focusing on the chaotic nature, the influence of multiplicative noise intensity, and the fractionality parameter on exact soliton solutions. The proposed model is used to describe the complex phenomena in the magnetic field.
Md. Mamunur Roshid +5 more
wiley +1 more source
Heliyon, 2020 A bilinear form of the (2+1)-dimensional nonlinear Calogero–Bogoyavlenskii–Schiff (CBS) model is derived using a transformation of dependent variable, which contain a controlling parameter.
Harun-Or- Roshid +2 more
doaj +1 more source
Open Physics, 2022 In this work, a (2+1)-dimensional generalized Hirota–Satsuma–Ito equation realized to represent the propagation of unidirectional shallow water waves is investigated.
Zhang Yun-Xia, Xiao Li-Na
doaj +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This manuscript studies the stochastic time fraction modified complex Ginzburg–Landau (SFmCGL) model, an essential dynamical nonlinear model for describing the physical nature of how the optical wave soliton behaves and changes over time in a dynamic optical communication system.
Hala Abd-Elmageed +4 more
wiley +1 more source
Ain Shams Engineering JournalThis research investigates the extended Kadomtsev-Petviashvili-Boussinesq equation, relevant in numerous scenarios involving dissipative media. To initiate the analysis, a Hirota bilinear form is applied, leading to a Bäcklund transformation for the ...
Nauman Raza +4 more
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid +3 more
wiley +1 more source