Results 21 to 30 of about 4,311,587 (239)
Precise Asymptotics for Bifurcation Curve of Nonlinear Ordinary Differential Equation
Mathematics, 2020 We study the following nonlinear eigenvalue problem −u″(t)=λf(u(t)),u(t)>0,t∈I:=(−1,1),u(±1)=0, where f(u)=log(1+u) and λ>0 is a parameter. Then λ is a continuous function of α>0, where α is the maximum norm α=∥uλ∥∞ of the solution uλ associated with λ ...
Tetsutaro Shibata
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Solving the Generalized Rosenau-KdV Equation by the Meshless Kernel-Based Method of Lines
Cumhuriyet Science Journal, 2022 This current investigation consists of the numerical solutions of the Generalized Rosenau-KdV equation by using the meshless kernel-based method of lines, which is a truly meshless method.
Murat Arı +2 more
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Nonlinear ordinary differential equations: A discussion on symmetries and singularities [PDF]
International Journal of Geometric Methods in Modern Physics, 2016 Two essential methods, the symmetry analysis and the singularity analysis, for the study of the integrability of nonlinear ordinary differential equations is the purpose of this work. The main similarities and the differences of these two different methods are discussed.
Andronikos Paliathanasis, P. G. L. Leach
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On the discrete and continuous Miura chain associated with the sixth Painlev equation [PDF]
, 2000 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Hone, A. N. W. +8 more
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Nonlinear AnalysisThis paper investigates the Kuramoto–Tsuzuki equation through the application of the Lie symmetry method. We derive three Lie algebra generators pertinent to this equation, facilitating a transformation that reduces the partial differential equation to ...
Mir Sajjad Hashemi +4 more
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Behavior of Solutions of a Nonlinear Ordinary Differential Equation
Journal of Mathematical Analysis and Applications, 1998 The authors consider positive solutions to initial value problems \[ (\omega^{-\beta} \omega')'- {y\over\beta +2}\omega' +{1\over \beta+2} \omega=0,\;y>0 \tag{*} \] \[ \omega(0) =\eta,\quad \omega' (0)=1, \tag{**} \] where ...
Deng, Keng, Xu, Mingxi
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Advances in Mathematical Physics, 2014 The separation transformation method is extended to the n+1-dimensional Klein-Gordon-Zakharov equation describing the interaction of the Langmuir wave and the ion acoustic wave in plasma. We first reduce the n+1-dimensional Klein-Gordon-Zakharov equation
Jing Chen, Ling Liu, Li Liu
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Journal of Ocean Engineering and Science, 2019 Using the Lie symmetry approach, the author has examined traveling wave solutions of coupled Benjamin–Bona–Mahony-KdV equation. The coupled Benjamin–Bona–Mahony-KdV equation is reduced to nonlinear ordinary differential equations for all optimal ...
Vikas Kumar
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Searching closed form analytic solutions to some nonlinear fractional wave equations
Arab Journal of Basic and Applied Sciences, 2021 Numerous tangible incidents in physics, chemistry, applied mathematics and engineering are described successfully by means of models making use of the theory of derivatives of fractional order and research in this area has grown significantly.
Md. Tarikul Islam +2 more
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Soliton solutions to the time-dependent coupled KdV–Burgers’ equation
Advances in Difference Equations, 2019 In this article, the authors apply the Lie symmetry approach and the modified (G′/G) $( G'/G )$-expansion method for seeking the solutions of time-dependent coupled KdV–Burgers equation.
Aisha Alqahtani, Vikas Kumar
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