Results 81 to 90 of about 697 (208)
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
doaj +1 more source
Introduction to the Hirota Direct Method
, 2021 The primary subject matter of the report is the Hirota Direct Method, and the primary goal of the report is to describe and derive the method in detail, and then use it to produce analytic soliton solutions to the Boussinesq equation and the Korteweg-de ...
Capetillo, Pascal, Hornewall, Jonathan
core
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study propounds a detailed report on the exact wave solutions of the complex fractional Ginzburg−Landau equation (CFGLE) with quadratic‐cubic law nonlinearity and (4 + 1)‐dimensional fractional Fokas equation (FFE). For this purpose, the aforementioned equations are transformed into nonlinear ordinary differential equations (NLODEs) within the ...
Özlem Kırcı +4 more
wiley +1 more source
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
doaj
Hirota bilinear computation of multi soliton solutions korteweg de vries equation [PDF]
, 2014 Soliton is the solution of nonlinear partial differential equation that exists due to the balance between nonlinearity and dispersive effects. The existence of these two effects in Korteweg de Vries (KdV) equation enables us to obtain solitons solutions.
Hamdan, Anniza
core
Woody cover and geology as regional‐scale determinants of semi‐arid savanna stability
Remote Sensing in Ecology and Conservation, Volume 11, Issue 5, Page 539-554, October 2025.Savannas are vital for global biodiversity and carbon storage, yet their responses to climate change and human activity remain uncertain. Using remote sensing time series and Bayesian Linear Models, we show that drought resistance and resilience vary regionally, shaped by complex interactions between geology, woody cover, fire regimes, past climate ...
Liezl Mari Vermeulen +5 more
wiley +1 more source
Engineering Reports, Volume 7, Issue 6, June 2025.This study explores novel nonlinear dynamical solutions to the (2 + 1)‐dimensional variable coefficient equation in oceanography. Using the Hirota bilinear method, we derive multi‐soliton, M‐lump, and hybrid wave solutions, revealing collision phenomena and their physical significance in nonlinear fluid dynamics and mathematical physics.
Hajar F. Ismael +3 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5039-5063, 15 March 2025.This article presents an analytical investigation performed on a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science. To start with, achieving diverse solitary wave solutions to the generalized power‐law model involves using wave transformation, which reduces the model to a nonlinear ordinary differential equation.
Oke Davies Adeyemo
wiley +1 more source
Lump and Interaction solutions of a geophysical Korteweg–de Vries equation
Results in Physics, 2020 This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic ...
S.T.R. Rizvi +5 more
doaj +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2164-2178, 30 January 2025.In this study, we obtained optical soliton solutions of the perturbed nonlinear Schrödinger–Hirota equation with generalized anti‐cubic law nonlinearity in the presence of spatio‐temporal dispersion. This equation models the propagation of optical pulses in fiber optic cables.
Ismail Onder +3 more
wiley +1 more source