Bifurcation of traveling waves and exact solutions of Kadomtsev–Petviashvili modified equal width equation with fractional temporal evolution
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DOI: 10.1007/s40314-019-0762-3
Abstract: The article is devoted in the study of the Kadomtsev–Petviashvili modified equal width equation with fractional temporal evolution in which modified Riemann–Liouville derivative is considered. We discuss the dynamical behavior of the system using bifurcation… read more here.
Keywords: modified equal; equation fractional; petviashvili modified; kadomtsev petviashvili ... See more keywords
Exact solutions and conservation laws for the modified equal width-Burgers equation
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DOI: 10.1515/phys-2018-0099
Abstract: Abstract In this paper we study the modified equal width-Burgers equation, which describes long wave propagation in nonlinear media with dispersion and dissipation. Using the Lie symmetry method in conjunction with the (G'/G)− expansion method… read more here.
Keywords: width burgers; modified equal; burgers equation; conservation ... See more keywords
Numerical Approximation of a Time-Fractional Modified Equal-Width Wave Model by Using the B-Spline Weighted Residual Method
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DOI: 10.3390/sym15040891
Abstract: Fractional calculus (FC) is an important mathematical tool in modeling many dynamical processes. Therefore, some analytical and numerical methods have been proposed, namely, those based on symmetry and spline schemes. This paper proposed a numerical… read more here.
Keywords: equal width; time fractional; modified equal; fractional modified ... See more keywords