Results 71 to 80 of about 11,033,514 (203)
Results relating to Hirota method and singularity analysis on some nonlinear waves equations [PDF]
, 2012 This article investigates on the connection between singularity analysis and Hirota method i.e. a direct method to obtain the multi-soliton solutions of nonlinear waves equations.
Chia, Chee Pen, Abd. Aziz, Zainal
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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
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This work is devoted to the analytical investigation of the (1 + 1)‐dimensional coupled Higgs system, which arises in a spectrum of physical contexts including plasma physics, nonlinear optics, field theory, and hydrodynamic wave propagation. Understanding the exact wave behaviors supported by this system is crucial for revealing its nonlinear ...
Laila A. Al-Essa +5 more
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Determination of the bilinear stress-crack opening curve for normal- and high-strength concrete [PDF]
, 2008 An improved version of the method proposed to ACI committee 446 and to RILEM TC 187-SOC to determine the fracture parameters of concrete is applied in this study to several mixtures of normal and high-strength concretes.
Sanz Merino, Beatriz +3 more
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The bilinear neural network method for solving Benney–Luke equation
Partial Differential Equations in Applied MathematicsBenney–Luke equation, the estimation of water wave propagation on the water’s surface, is significantly important in studying the tension of water waves in physics.
Nguyen Minh Tuan +3 more
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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
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Exact One-Periodic and Two-Periodic Wave Solutions to Hirota Bilinear Equations in (2+1) Dimensions
, 2009 Riemann theta functions are used to construct one-periodic and two-periodic wave solutions to a class of (2+1)-dimensional Hirota bilinear equations.
Zhou, Ruguang, Gao, Liang, Ma, Wen-Xiu
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Unification of integrable q-difference equations
Electronic Journal of Differential Equations, 2015 This article presents a unifying framework for q-discrete equations. We introduce a generalized q-difference equation in Hirota bilinear form and develop the associated three-q-soliton solutions which are described in polynomials of power functions ...
Burcu Silindir, Duygu Soyoglu
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Results in Physics, 2020 Based on symbolic computation and Hirota bilinear form, a class of lump solutions for the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation is given. As a result, the lump solution shows a new perspective to knowledge them. Meanwhile,
Ping Cui
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Journal of Mathematics, Volume 2026, Issue 1, 2026.To investigate the fractional coupled Wu‐Zhang system analytically, this paper uses a hybrid generalized Riccati−Bernoulli sub‐ODE scheme and Bäcklund transformation to find the exact kink, antikink, and bright‐kink soliton solutions. The dynamical properties of these solutions are discussed using Hamiltonian formulation, phase‐portrait analysis, and ...
M. Mossa Al-Sawalha +2 more
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