Finite Genus Solutions to the Coupled Burgers Hierarchy
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DOI: 10.1007/s00025-018-0934-2
Abstract: The coupled Burgers hierarchy is derived with the aid of Lenard recursion sequences. Based on the characteristic polynomial of Lax matrix, a trigonal curve of arithmetic genus $$m-2$$m-2 is introduced, from which the meromorphic functions… read more here.
Keywords: coupled burgers; finite genus; genus solutions; burgers hierarchy ... See more keywords
A note on singular two-dimensional fractional coupled Burgers’ equation and triple Laplace Adomian decomposition method
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DOI: 10.1186/s13661-020-01426-0
Abstract: The present article focuses on how to find the exact solutions of the time-fractional regular and singular coupled Burgers’ equations by applying a new method that is called triple Laplace and Adomian decomposition method. Furthermore,… read more here.
Keywords: coupled burgers; triple laplace; method; decomposition method ... See more keywords
Analytic Study of Coupled Burgers’ Equation
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DOI: 10.3390/math11092071
Abstract: In this paper, we construct an analytical solution of the coupled Burgers’ equation, using the homotopy analysis method, which is a semi-analytical method, the approximate solution obtained by this method is convergent for different values… read more here.
Keywords: analytic study; method; burgers equation; coupled burgers ... See more keywords
A Comparative Study of the Fractional Coupled Burgers and Hirota-Satsuma KdV Equations via Analytical Techniques
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DOI: 10.3390/sym14071364
Abstract: This paper applies modified analytical methods to the fractional-order analysis of one and two-dimensional nonlinear systems of coupled Burgers and Hirota–Satsuma KdV equations. The Atangana–Baleanu fractional derivative operator and the Elzaki transform will be used… read more here.
Keywords: kdv equations; hirota satsuma; burgers hirota; satsuma kdv ... See more keywords