Results 61 to 70 of about 53,167 (307)
, 2009 The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution.
Abbasbandy, S., Parkes, E.J.
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A new ghost cell/level set method for moving boundary problems:application to tumor growth [PDF]
, 2008 In this paper, we present a ghost cell/level set method for the evolution of interfaces whose normal velocity depend upon the solutions of linear and nonlinear quasi-steady reaction-diffusion equations with curvature-dependent boundary conditions.
Macklin, Paul, Lowengrub, John S.
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Time-dependent global attractor of the nonlinear evolution equation with nonlinear damping
四川大学学报. 自然科学版, 2017 In this article, we consider the long-time behavior of solutions for the nonlinear evolution equation with nonlinear damping. Within the theory of process on time-dependent spaces, by using the contractive functions and more detailed estimates, we prove ...
LIU Ting-Ting, MA Qiao-Zhen
doaj
ITM Web of Conferences, 2018 In this study, the (2+1)-dimensional cubic nonlinear Schrödinger equation with fractional temporal evolution is investigated by using the extended sinh-Gordon equation expansion method.
Atas Sibel Sehriban +2 more
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
International Journal of Adaptive Control and Signal Processing, EarlyView.This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir +2 more
wiley +1 more source
Propulsion and Power Research, 2017 This work obtains the disguise version of exact solitary wave solutions of the generalized (2+1)-dimensional Zakharov-Kuznetsov–Benjamin-Bona-Mahony and the regularized long wave equation with some free parameters via modified simple equation method (MSE)
Harun-Or Roshid +3 more
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Geofluids, 2021 Conventional triaxial loading and unloading tests were carried out on sandstone samples in the Zigong area, of Sichuan Province, China. The changes in the elastic modulus of the unloading curves under different confining pressures were calculated, and ...
Tianbai Zhou +4 more
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Complete Integrability of Nonlinear Evolution Equations [PDF]
Progress of Theoretical Physics, 1975 Summary: It is shown that a broad class of nonlinear evolution equations, which have been systematically discussed by Ablowitz, Kaup, Newell and Segur, can be described as the Hamiltonian systems and that these Hamiltonian systems are completely integrable.
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A New Integrable Nonlinear Evolution Equation [PDF]
Progress of Theoretical Physics, 1980 Summary: We show that a new integrable nonlinear evolution equation \(iq_ t+(q/\sqrt{1+| q| ^ 2})_ {xx}=0\) is solved exactly by the inverse scattering method. From the Gelfand-Levitan equation, a one-soliton solution is obtained. It is found that a one-soliton solution has two interesting limits, a small amplitude soliton and a bursting soliton.
Shimizu, Toru, Wadati, Miki
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