Lie Group Classification for a Class of Compound KdV–Burgers Equations with Time-Dependent Coefficients
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-020-00931-1
Abstract: We derive the Lie group classification for a general class of KdV–Burgers equations, where the coefficients are functions of time. We demonstrate how important is the use of equivalence transformations prior the group classification. These… read more here.
Keywords: lie group; burgers equations; group; kdv burgers ... See more keywords
Soliton transmutations in KdV–Burgers layered media
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DOI: 10.1016/j.geomphys.2019.103547
Abstract: We study the behavior of the soliton which, while moving in non-dissipative medium encounters a barrier with dissipation. The modelling included the case of a finite dissipative layer as well as a wave passing from… read more here.
Keywords: non dissipative; transmutations kdv; soliton; kdv burgers ... See more keywords
SYMMETRY ANALYSIS, ANALYTICAL SOLUTIONS AND CONSERVATION LAWS OF A GENERALIZED KdV–BURGERS–KURAMOTO EQUATION AND ITS FRACTIONAL VERSION
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DOI: 10.1142/s0218348x21501012
Abstract: Wave motions play an important role in fluid dynamics and engineering issues. In this paper, a systematic study to the generalized KdV–Burgers–Kuramoto equation is presented resort to symmetry method. First, based on the Lie point… read more here.
Keywords: kuramoto equation; burgers kuramoto; kdv burgers; equation ... See more keywords
Numerical solutions of the fractional KdV-Burgers-Kuramoto equation
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DOI: 10.2298/tsci170613281k
Abstract: Non-linear terms of the time-fractional KdV-Burgers-Kuramoto equation are linearized using by some linearization techniques. Numerical solutions of this equation are obtained with the help of the finite difference methods. Numerical solutions and corresponding analytical solutions… read more here.
Keywords: fractional kdv; kuramoto equation; numerical solutions; burgers kuramoto ... See more keywords