Related Evolution Equations and Lie Symmetries

1985 ◽  
Vol 16 (2) ◽  
pp. 221-232 ◽  
Author(s):  
E. G. Kalnins ◽  
Willard Miller, Jr.
Keyword(s):  
Evolution Equations ◽  
Lie Symmetries

scholarly journals Lie Symmetries of (1+2) Nonautonomous Evolution Equations in Financial Mathematics

Mathematics ◽  
2016 ◽  
Vol 4 (2) ◽  
pp. 34 ◽  
Author(s):  
Andronikos Paliathanasis ◽  
Richard Morris ◽  
Peter Leach
Keyword(s):  
Evolution Equations ◽  
Lie Symmetries ◽  
Financial Mathematics

scholarly journals Analytical Solutions for Nonlinear Dispersive Physical Model

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Wen-Xiu Ma ◽  
Mohamed R. Ali ◽  
R. Sadat
Keyword(s):  
Water Waves ◽  
Nuclear Physics ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Travelling Wave ◽  
Lie Symmetries ◽  
Nonlinear Evolution Equations ◽  
Travelling Wave Solutions ◽  
Shallow Water Waves ◽  
Integrating Factor

Nonlinear evolution equations widely describe phenomena in various fields of science, such as plasma, nuclear physics, chemical reactions, optics, shallow water waves, fluid dynamics, signal processing, and image processing. In the present work, the derivation and analysis of Lie symmetries are presented for the time-fractional Benjamin–Bona–Mahony equation (FBBM) with the Riemann–Liouville derivatives. The time FBBM equation is reduced to a nonlinear fractional ordinary differential equation (NLFODE) using its Lie symmetries. These symmetries are derivations using the prolongation theorem. Applying the subequation method, we then use the integrating factor property to solve the NLFODE to obtain a few travelling wave solutions to the time FBBM.

Lie symmetries versus integrability in evolution equations

1993 ◽  
Vol 26 (23) ◽  
pp. L1229-L1232 ◽  
Author(s):  
L Abellanas ◽  
C Martinez Ontalba
Keyword(s):  
Evolution Equations ◽  
Lie Symmetries

Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms, II

2006 ◽  
Vol 17 (5) ◽  
pp. 597-605 ◽  
Author(s):  
ROMAN CHERNIHA ◽  
MYKOLA SEROV
Keyword(s):  
Exact Solutions ◽  
Evolution Equations ◽  
Applied Mathematics ◽  
Reaction Diffusion ◽  
Second Order ◽  
Lie Symmetries ◽  
Nonlinear Reaction ◽  
Diffusion Convection ◽  
Natural Way

New results concerning Lie symmetries of nonlinear reaction-diffusion-convection equations, which supplement in a natural way the results published in the European Journal of Applied Mathematics (9(1998) 527–542) are presented.

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