The effect of multiplicative noise on the exact solutions of the stochastic Burgers' equation
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N. Iqbal | M. El-Morshedy | W. W. Mohammed | S. Albosaily | S. Albosaily | M. El-Morshedy | N. Iqbal
[1] E. S. Aly,et al. The exact solutions of the stochastic Ginzburg–Landau equation , 2021 .
[2] C. M. Khalique,et al. Determining lump solutions for a combined soliton equation in (2+1)-dimensions , 2020 .
[3] H. Bateman,et al. SOME RECENT RESEARCHES ON THE MOTION OF FLUIDS , 1915 .
[4] W. Mohammed. Approximate solutions for stochastic time‐fractional reaction–diffusion equations with multiplicative noise , 2020, Mathematical Methods in the Applied Sciences.
[5] Zhaosheng Feng,et al. Travelling wave solutions of the Burgers-Huxley equation , 2012 .
[6] Long time behavior for stochastic Burgers equations with jump noises , 2018, Statistics & Probability Letters.
[7] J. Burgers. A mathematical model illustrating the theory of turbulence , 1948 .
[8] Arnulf Jentzen,et al. Galerkin Approximations for the Stochastic Burgers Equation , 2013, SIAM J. Numer. Anal..
[9] G. B. Whitham,et al. Linear and Nonlinear Waves: Whitham/Linear , 1999 .
[10] M. Elbrolosy,et al. Bifurcation and new traveling wave solutions for (2 + 1)-dimensional nonlinear Nizhnik–Novikov–Veselov dynamical equation , 2020 .
[11] Wenxiu Ma,et al. Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation , 1995, solv-int/9511005.
[12] B. Guo,et al. Stochastic Burgers' equation driven by fractional Brownian motion , 2010 .
[13] W. W. Mohammed,et al. Amplitude Equation for SPDEs with Quadratic Non-Linearities , 2009 .
[14] Wen-Xiu Ma,et al. Symbolic Computation of Lump Solutions to a Combined Equation Involving Three Types of Nonlinear Terms , 2020, East Asian Journal on Applied Mathematics.
[15] Jinliang Zhang,et al. The improved F -expansion method and its applications , 2006 .
[16] Global well-posedness and large deviations for 3D stochastic Burgers equations , 2020 .
[17] J. Cole. On a quasi-linear parabolic equation occurring in aerodynamics , 1951 .
[18] D. Chambers,et al. Karhunen-Loeve expansion of Burgers' model of turbulence , 1988 .
[19] R. Hirota. Exact solution of the Korteweg-deVries equation for multiple collision of solitons , 1971 .
[20] A. Elmandouh. Bifurcation and new traveling wave solutions for the 2D Ginzburg–Landau equation , 2020, The European Physical Journal Plus.
[21] Md. Nur Alam,et al. Traveling wave solutions for some important coupled nonlinear physical models via the coupled Higgs equation and the Maccari system , 2015 .
[22] Anjan Biswas,et al. Soliton solutions of Burgers equations and perturbed Burgers equation , 2010, Appl. Math. Comput..
[23] D. Jeng. Forced Model Equation for Turbulence , 1969 .
[24] Abdul-Majid Wazwaz,et al. The extended tanh method for abundant solitary wave solutions of nonlinear wave equations , 2007, Appl. Math. Comput..
[25] W. Mohammed. Amplitude equation for the stochastic reaction‐diffusion equations with random Neumann boundary conditions , 2015 .
[26] Axel Schulze-Halberg,et al. Burgers equation with time-dependent coefficients and nonlinear forcing term: Linearization and exact solvability , 2015, Commun. Nonlinear Sci. Numer. Simul..
[27] M. Belić,et al. Optical solitons with differential group delay for complex Ginzburg–Landau equation , 2020 .
[28] P. Imkeller,et al. CONCEPTUAL STOCHASTIC CLIMATE MODELS , 2002 .
[29] Multi-scale analysis of SPDEs with degenerate additive noise , 2014 .
[30] J. Burgers. The Nonlinear Diffusion Equation , 2013 .
[31] Kai Liu. Large time behaviour for a class of turbulence models - stochastic Burgers equations , 1997 .
[32] D. Matignon,et al. A fractional Burgers equation arising in nonlinear acoustics: theory and numerics ? , 2013 .
[33] Yan Liu,et al. Thermalized solution of the Galerkin-truncated Burgers equation: From the birth of local structures to thermalization , 2017, Commun. Nonlinear Sci. Numer. Simul..
[34] K. Yamamoto,et al. Turbulence in the randomly forced, one-dimensional Burgers flow , 1975 .
[35] Wenxiu Ma,et al. A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation , 2009, 0903.5337.
[36] Roger Temam,et al. Stochastic Burgers' equation , 1994 .