Observations on the basic (G′/G)-expansion method for finding solutions to nonlinear evolution equations [PDF]
, 2010 The extended tanh-function expansion method for finding solutions to nonlinear evolution equations delivers solutions in a straightforward manner and in a neat and helpful form.
Parkes, E.J.
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Partially integrable nonlinear equations with one higher symmetry [PDF]
, 2005 In this letter, we present a family of second order in time nonlinear partial differential equations, which have only one higher symmetry.
Mikhailov, AV +5 more
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A Unified Approach to Some Classes of Nonlinear Integral Equations
Journal of Function Spaces, 2014 We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and ...
Nurgali K. Ashirbayev +2 more
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The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint [PDF]
Journal of Electrical and Computer Engineering Innovations, 2013 In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations ...
R. Hajmohammadi +2 more
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Applied Sciences, 2022 Explicit solutions to vertical and horizontal displacements are derived for large deformation of a cantilever beam under point load at the free end by an improved homotopy analysis method (IHAM).
Yinshan Li +3 more
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On Nonlinear Vekua Type Equations [PDF]
, 2006 Nonlinear Vekua-Bers type differential equations are studied on the base of certain methods of nonlinear analysis.
S. V. Rogosin, Rogosin, S. V.
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On the almost sure running maxima of solutions of affine stochastic functional differential equations [PDF]
, 2010 This paper studies the large fluctuations of solutions of scalar and finite-dimensional affine stochastic functional differential equations with finite memory as well as related nonlinear equations.
Wu, H., Appleby, John A.D., Mao, Xuerong
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MATEC Web of Conferences, 2017 This paper presents a bilinear approach to nonlinear differential equations system approximation problem. Sometimes the nonlinear differential equations right-hand sides linearization is extremely difficult or even impossible.
Leibov Roman
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A method for constructing a complete bifurcation picture of a boundary value problem for nonlinear partial differential equations: application of the Kolmogorov-Arnold theorem [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of this study is to develop a numerical method for bifurcation analysis of nonlinear partial differential equations, based on the reduction of partial differential equations to ordinary ones, using the Kolmogorov-Arnold theorem.
Gromov, Vasily Alexandrovich +4 more
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Observations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations [PDF]
, 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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