A computational procedure for exact solutions of Burgers’ hierarchy of nonlinear partial differential equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s12190-020-01403-x.pdf
Reference31 articles.
1. Burgers, J.M.: A mathematical model illustrating the theory of turbulance. Adv. Appl. Mech. 1, 171–199 (1948)
2. Olver, P.J.: Evolution equations possessing infinitly many symmetries. J. Math. Phys. 18, 1212–1215 (1977)
3. Hopf, E.: The partial differential equation $$u_t + u u_x = u_{xx}$$. Commun. Pure Appl. Math. 3, 201–230 (1950)
4. Benton, E.R.: Some new exact, viscous, nonsteady solutions of Burgers’ equation. J. Math. Phys. 9, 1129–1136 (1968)
5. Hereman, W., Banerjee, P.P., Korpel, A., Assanto, G., Van Immerzeele, A., Meerpoel, A.: Exact solitary wave solutions of non-linear evolution and wave equations using a direct algebraic method. J. Phys. A Math. Gen. 19, 607–628 (1986)
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