Results 81 to 90 of about 5,895,681 (193)
Q-soliton solution for two-dimensional q-Toda lattice
Қарағанды университетінің хабаршысы. Физика сериясы, 2019 The Toda lattice is a non-linear evolution equation describing an infinite system of masses on a line that interacts through an exponential force. The paper analyzes the construction of soliton solution for the q-Toda lattice in the two-dimensional case.
Б.Б. Кутум, Г.Н. Шайхова
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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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A Hirota bilinear equation for Painlevé transcendents PIV, PII and PI. [PDF]
, 2018 We present some observations on the tau-function for the fourth Painle v ́e equation. By considering a Hirota bilinear equation of order four for this tau-function, we describ e the general form of the Taylor expansion around an arbitrary movable ze ro ...
A. N. W. Hone +5 more
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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.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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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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Lump Solutions and Interaction Solutions for the Dimensionally Reduced Nonlinear Evolution Equation
Complexity, 2019 In this paper, by means of the Hirota bilinear method, a dimensionally reduced nonlinear evolution equation is investigated. Through its bilinear form, lump solutions are obtained. We construct interaction solutions between lump solutions and one soliton
Baoyong Guo, Huanhe Dong, Yong Fang
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This work develops a new computational algorithm. The modified extended direct algebraic neural network method (MEDANNM) is a synergistic combination of algebraic geometry and deep learning to find soliton solutions. The higher‐dimensional dissipative Zabolotskaya–Khokhlov equation is a paradigm model for studying nonlinear wave propagation.
Hafiz Muhammad Hamid Raza +6 more
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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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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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