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Investigation of Riemann wave propagating for the variable coefficients complicated nonlinear physical phenomena
  • Mohamed Ali,
  • rahma sadat,
  • D. Baleanu
Mohamed Ali
Benha University Faculty of Engineering at Shoubra
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rahma sadat
Zagazig University Faculty of Engineering
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D. Baleanu
Cankaya University
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Peer review status:UNDER REVIEW

04 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
06 Jun 2020Assigned to Editor
06 Jun 2020Submission Checks Completed
12 Jun 2020Reviewer(s) Assigned

Abstract

We are exploring solitons and other solutions describe new interaction between two solitons besides, new three soliton solutions are generated. we examine the commutative product between multi unknown Lie infinitesimals for the (2+1) dimensional variable-coefficients Bogoyavlensky Konopelchenko (VCBK) equation and this study result some new Lie vectors. The commutative product generates a system of nonlinear ODEs which had been solved manually. Through two stages of Lie symmetry reduction, (VCBK) equation is reduced to non-solvable nonlinear ODEs using various combinations of optimal Lie vectors. Using the Integration method, we investigate new analytical solutions for these ODEs. Back substituting to the original variables generates new solitons and other solutions for (VCBK). Some selected solutions illustrated through three-dimensional plots.