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Ergodicity of 3D Stochastic Burgers Equation
3D Burgers equation is an important model for turbulence. It is natural to expect the long-time behaviour for this hydrodynamics equation. However,...
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Noise Effect on the 2D Stochastic Burgers Equation
By comprehensive utilizing of the geometry structure of 2D Burgers equation and the stochastic noise, we find the decay properties of the solution to...
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Asymptotic Solutions of Burgers Equation and Modified Burgers Equation Satisfying Flux Type Conditions
In this article, we solve exactly an initial boundary value problem (IBVP) for Burgers equation satisfying flux type conditions using Cole-Hopf...
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Reflected Stochastic Burgers Equation with Jumps
This paper is concerned with the reflected stochastic Burgers equation driven both by the Brownian motion and by the Poisson random measure. The...
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Dynamic Programming of the Stochastic Burgers Equation Driven by Lévy Noise
In this work, we study the optimal control of stochastic Burgers equation perturbed by Gaussian and Lévy-type noises with distributed control process...
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Uniform Large Deviations for Stochastic Generalized Burgers-Huxley Equation Driven by Multiplicative Noise
In this paper, we establish a Freidlin-Wentzell type large deviation principle uniformly with respect to initial condition in bounded subsets, that...
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An efficient semi-analytical technique to solve multi-dimensional Burgers’ equation
The work of this paper is motivated by the recently published article (Zeidan et al., Math Methods Appl Sci 43(5):2171–2188,
2020 ) in which the...
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Bi-objective and hierarchical control for the Burgers equation
We present some results concerning the control of the Burgers equation. We analyze a bi-objective optimal control problem and then the hierarchical...
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Approximate solution of KdV-Burgers equation using improved PINNs algorithm
Finding solutions to partial differential equations (PDEs) has long been a challenging endeavor. Despite various proposed methods, there isn’t a...
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Solving Non-linear Fractional Coupled Burgers Equation by Sub-equation Method
In this solution, the real results were reached in solving the nonlinear fractional Coupled Burgers equation, which represents the solution with...
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Time-fractional nonlinear evolution of dynamic wave propagation using the Burgers’ equation
Fractional derivatives are crucial in diverse contexts, offering a means to extend classical derivatives to noninteger orders. This expansion of...
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Pseudospectral analysis for multidimensional fractional Burgers equation based on Caputo fractional derivative
This study presents the Chebyshev pseudospectral approach in time and space to approximate a solution to the time-fractional multidimensional Burgers...
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Principal Algebra, Invariant Solutions and Representations for Optimal Systems of the Burgers–Huxley Equation
This manuscript is committed to the investigation of search reduction methodologies, identification and analysis of invariant solutions, and...
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Numerical Solution of the Burgers’ Equation Using Chelyshkov Polynomials
A numerical approach to approximate the nonlinear Burgers’ equation solution is presented in this article. By temporally discretizing the problem...
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Invariant analysis of the linear time-space fractional (2+1)-dimensional Burgers equation
In this article, we considered the linear time-space fractional (2+1)-dimensional Burgers equation which can be used to characterize the shallow...
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Stability, Bifurcation, and Traveling Wave Solutions to the Generalized Time-Fractional Burgers-Huxley Equation
In the field of mathematical sciences and engineering, traveling wave solutions play a crucial role in illustrating numerous nonlinear physical...
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A Modified Runge–Kutta Scheme for the Generalized Benjamin–Bona–Mahony–Burgers Equation
AbstractThis paper presents a modified Runge–Kutta (MRK) scheme for the generalized Benjamin–Bona–Mahony–Burgers equation. The MRK method separate...
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On the inverse problem for one-dimensional Burgers’ equation from the interior observation
In this work, we study the inverse problem of finding the initial condition for one-dimensional Burgers’ equation from the interior observation....
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Global Solutions and Interactions of Non-selfsimilar Elementary Waves for n-D Non-homogeneous Burgers Equation
We investigate the global structures of the non-selfsimilar solutions for n -dimensional ( n -D) non-homogeneous Burgers equation, in which the initial...