A complex solution to (3+1)-dimensional KdV and (3+1)-dimensional KdV-Burger equations in bubbly liquid
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DOI: 10.1080/09720502.2019.1675569
Abstract: Abstract In this paper, we use secant hyperbolic ansatz with tanh-coth method, combined with Riccati equation to derive complex travelling wave solutions to the (3+1)-dimensional Korteweg-de-Vries (KdV) and (3+1)-dimensional KdV-Burgers equations. Both the complex solitary… read more here.
Keywords: equation; solution dimensional; dimensional kdv; kdv dimensional ... See more keywords
Invariant analysis, optimal system of Lie sub-algebra and conservation laws of (3+1)-dimensional KdV–BBM equation
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DOI: 10.1140/epjp/s13360-020-00936-1
Abstract: In this paper, a nonlinear fourth-order (3+1)-dimensional KdV Benjamin–Bona–Mahony equation is studied using Lie symmetry approach. Lie symmetry analysis is executed to obtain the entire vector field, group-invariant solutions and similarity reductions based on the… read more here.
Keywords: analysis; sub algebra; dimensional kdv; conservation laws ... See more keywords
On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics
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DOI: 10.1515/phys-2018-0030
Abstract: Abstract In this paper, we study a (2+1) dimensional KdV-mKdV equation, which models many physical phenomena of mathematical physics. This equation has two integral terms in it. By an appropriate substitution, we convert this equation… read more here.
Keywords: kdv mkdv; mkdv equation; physics; dimensional kdv ... See more keywords