Results 41 to 50 of about 394 (186)
Complexity, 2021 In this paper, a generalized (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation is considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton solution, breather solutions, and lump solutions, are obtained. Breathers
Hongcai Ma, Qiaoxin Cheng, Aiping Deng
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek +6 more
wiley +1 more source
Combined Exp-Function Ansatz Method and Applications
Abstract and Applied Analysis, 2013 Our aim is to present a combined Exp-function ansatz method. This method replaces the traditional assumptions of multisolitons by a combination of the hyperbolic functions and triangle functions in Hirota bilinear forms of nonlinear evolution equation ...
Gui Mu, Jun Liu, Zhengde Dai, Xi Liu
doaj +1 more source
Dynamics investigation on a Kadomtsev–Petviashvili equation with variable coefficients
Open Physics, 2022 In this work, we investigate a generalized Kadomtsev–Petviashvili equation with variable coefficients and self-consistent sources in plasma and fluid mechanics.
Peng Li-Juan
doaj +1 more source
Periodic wave solutions of nonlinear equations by Hirota's bilinear method
, 2006 31pages ...
Dai, H. H., Geng, E. G. Fan X. G.
openaire +2 more sources
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
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
doaj +1 more source
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
A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions
Nuclear Physics B, 2020 In this paper, a (2+1)-dimensional sine-Gordon equation and a sinh-Gordon equation are derived from the well-known AKNS system. Based on the Hirota bilinear method and Lie symmetry analysis, kink wave solutions and traveling wave solutions of the (2+1 ...
Gangwei Wang +4 more
doaj +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