Stochastic generalized Burgers equations driven by fractional noises

Y Jiang, T Wei, X Zhou - Journal of Differential Equations, 2012 - Elsevier
Stochastic generalized Burgers equations driven by fractional noises Page 1 J. Differential
Equations 252 (2012) 1934–1961 Contents lists available at ScienceDirect Journal of …

Multi-soliton, Rogue Wave and Periodic Wave Solutions of Generalized () Dimensional Boussinesq Equation

D Vinodh, R Asokan - International Journal of Applied and Computational …, 2020 - Springer
In this work, we investigate a new generalized (2+ 1 2+ 1) dimensional Boussinesq
Equation. This integrable shallow water wave equation is studied by virtue of the Simplified …

Soliton and exact solutions for the KdV–BBM type equations by tanh–coth and transformed rational function methods

R Asokan, D Vinodh - International Journal of Applied and Computational …, 2018 - Springer
In this work, we study the nonlinear partial differential equations such as KdV–BBM, mKdV–
BBM, generalized KdV–BBM and potential KdV–BBM equations. We apply the tanh–coth …

Exact linearization and invariant solutions of the generalized Burgers equation with linear damping and variable viscosity

BM Vaganan, MS Kumaran - Studies in Applied Mathematics, 2006 - Wiley Online Library
The generalized Burgers equation with linear damping and variable viscosity is subjected to
Lie's classical method. Five distinct expressions for the variable viscosity are identified. Both …

[PDF][PDF] The tanh-coth method for soliton and exact solutions of the Sawada-Kotera equation

R Asokan, D Vinodh - Int. J. Pure Appl. Math, 2017 - researchgate.net
In this paper, we consider Sawada-Kotera equation to obtain explicit exact soliton,
compacton, periodic and travelling wave solutions by using tanh− coth method with the help …

On a generalized stochastic Burgers' equation perturbed by Volterra noise

V Kumar, MT Mohan, AK Giri - Journal of Mathematical Analysis and …, 2022 - Elsevier
In this article, we investigate the existence and uniqueness of local mild solutions for the one-
dimensional generalized stochastic Burgers' equation (GSBE) containing a nonlinearity of …

Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization

BM Vaganan, MS Kumaran - Nonlinear analysis: Real world applications, 2008 - Elsevier
Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact
linearization - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

Similarity reduction and exact solutions of a Boussinesq-like equation

B Zhang, H Hu - Zeitschrift für Naturforschung A, 2018 - degruyter.com
The similarity reduction and similarity solutions of a Boussinesq-like equation are obtained
by means of Clarkson and Kruskal (CK) direct method. By using Lie symmetry method, we …

[PDF][PDF] Direct similarity reductions and new exact solutions of the short pulse equation

Q Chen, Y Shang - AIMS Mathematics, 2019 - aimspress.com
In this paper, we present some similarity reductions of the short pulse equation (SPE) based
on the direct similarity reduction method proposed by Clarkson and Kruskal. These similarity …

Banach Contraction Method and Tanh-coth Approach for the Solitary and Exact Solutions of Burger-Huxley and Kuramoto-Sivashinsky Equations.

L Ebiwareme - International Journal of Mathematics Trends and …, 2021 - ijmttjournal.org
In this paper, the Tanh-coth and Banach contraction methods are proposed to solve the
Burgers-Huxley and Kuramoto-Sivashinsky equations. The equations under study were first …