The conservation laws with Lie symmetry analysis for time fractional integrable coupled KdV–mKdV system
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DOI: 10.1016/j.ijnonlinmec.2017.10.010
Abstract: Abstract In this paper, the fractional Lie symmetry method has been implemented for getting similarity reduction and conservation laws for time fractional integrable coupled KdV–mKdV system. Firstly, the fractional Lie symmetry method has been used… read more here.
Keywords: integrable coupled; time fractional; coupled kdv; fractional integrable ... See more keywords
Nonlinear Stability of the Periodic Traveling Wave Solution for a Class of Coupled KdV Equations
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DOI: 10.1155/2020/3875038
Abstract: In this paper, by applying the Jacobian ellipse function method, we obtain a group of periodic traveling wave solution of coupled KdV equations. Furthermore, by the implicit function theorem, the relation between some wave velocity… read more here.
Keywords: wave solution; coupled kdv; kdv equations; solution ... See more keywords
Lie symmetry reductions and conservation laws for fractional order coupled KdV system
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DOI: 10.1186/s13662-020-03149-z
Abstract: Lie symmetry analysis is achieved on a new system of coupled KdV equations with fractional order, which arise in the analysis of several problems in theoretical physics and numerous scientific phenomena. We determine the reduced… read more here.
Keywords: system; fractional order; coupled kdv; lie symmetry ... See more keywords
Fundamental Solutions for the Coupled KdV System and Its Stability
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DOI: 10.3390/sym12030429
Abstract: In this paper, we establish exact solutions for the non-linear coupled KdV equations. The exp-function method is used to construct the solitary travelling wave solutions for these equations. The numerical adaptive moving mesh PDEs (MMPDEs)… read more here.
Keywords: kdv system; fundamental solutions; coupled kdv; kdv ... See more keywords
Approximate Solution of Space-Time Fractional KdV Equation and Coupled KdV Equations
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DOI: 10.7566/jpsj.89.014002
Abstract: The main goal of this article is to find the approximate solution of the space-time fractional order KdV (STFKdV) equation and Coupled KdV (STFCKdV) equations by using Homotopy analysis method (HAM... read more here.
Keywords: equation coupled; approximate solution; time fractional; space time ... See more keywords