Results 71 to 80 of about 481 (193)
American Journal of Computational and Applied Mathematics, 2012 In this paper, the modified Kudryashov method (the rational Exp-function method) with the aid of symbolic computation has been applied to obtain exact solutions of the (2+1)-dimensional modified Korteweg-de Vries equations (mKdV) and nonlinear Drinfeld-Sokolov system.
G. M. Moatimid +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This work introduces a nonlinear stochastic Riemann wave equation (SRWE) with particular novel solutions by using the white noise stochastic term. For the considered problem, we have used two computational methods, namely, the auxiliary equation (AE) method and the unified method (UM), for the exact solution and analyzed their various characteristics ...
Sara Salem Alzaid +2 more
wiley +1 more source
Traveling wave solutions for the two-dimensional Zakharov-Kuznetsov-Burgers equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper, the two-dimensional Zakharov-Kuznetsov-Burgers (ZKB) equation is investigated. The basic set of fluid equations is reduced to ZKB equation.
G. Shaikhova, G. Shaikhova
doaj +1 more source
, 2022 We have analyzed the two coupled nonlinear Schrödinger equations (CNLSE) in the current work. This model has applications in high birefringence fibers. To generate different types of analytical solutions, including exponential, periodic, and soliton-type,
Gu J., Akbulut A., Kaplan M., Kaabar M.K.A., Yue X.G.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study proposes a comprehensive study on fractional soliton solutions and chaotic nature for the temporal M‐fractional Yajima–Oikawa (YO) model in shortwave and longwave regimes. Utilizing the new Jacobian elliptic function method, the optical soliton solutions are examined with diverse categories, including kinky‐periodic wave, kink with bell wave,
Md. Mamunur Roshid +5 more
wiley +1 more source
, 2010 The 'tanh-coth expansion method' for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature. It is a natural extension to the basic tanh-function expansion method which was developed in the
Parkes, E.J.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.The Hirota–Maccari (HM) system is a fundamental model in wave propagation that has been widely utilized to investigate complex nonlinear phenomena in nonlinear optics, optical communications, and mathematical physics. The HM system sheds light on critical insights into soliton dynamics, wave interactions, and other nonlinear effects.
Fei Li +4 more
wiley +1 more source
Dynamic Behavior of the Chavy–Waddy–Kolokolnikov (CWK) Model of Bacterial Clustering in Phototaxis
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, we investigate the nonlinear dynamics of the continuity‐based Chavy–Waddy–Kolokolnikov (CWK) model for bacterial clustering in phototaxis. The model describes microorganism movement and pattern formation under light stimuli and thus serves as a useful prototype for biological transport processes.
Loubna Ouahid +4 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study investigates a fractional partial differential equation in the field of mathematical biology. The Bernoulli (G′⁄G)‐expansion method is applied to solve this class of fractional‐order nonlinear differential equations and derive analytical solutions.
Hongqiang Tu, Yongyi Gu, Guotao Wang
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Be careful with the Exp-function method
, 2008 An application of the Exp-function method to search for exact solu-tions of nonlinear differential equations is analyzed. Typical mistakes of application of the Exp-function method are demonstrated.
Nadejda B. Loguinova +1 more
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