The method of generalized Cole-Hopf substitutions and new examples of linearizable nonlinear evolution equations

Author:

Zhuravlev V. M.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference27 articles.

1. J. M. Burgers, The Nonlinear Diffusion Equation: Asymptotic Solutions and Statistical Problems, Reidel, Dordrecht (1974).

2. G. B. Whitham, Linear and Nonlinear Waves, Wiley, New York (1974).

3. C. S. Gardner, J. M. Green, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett., 19, 1095–1097 (1967).

4. S. I. Svinolupov, Theor. Math. Phys., 65, 1177–1180 (1985).

5. N. H. Ibragimov, Groups of Transformations in Mathematical Physics [in Russian], Nauka, Moscow (1983); English transl.: Transformation Groups Applied in Mathematical Physics, Reidel, Dordrecht (1985).

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1. Models for the dynamics of dust-like matter in the self-gravity field: The method of hydrodynamic substitutions;Journal of Experimental and Theoretical Physics;2017-09

2. Солитоны и метод обобщeнных подстановок Коула - Хопфа;Вестник Самарского государственного технического университета. Серия «Физико-математические науки»;2013

3. Nonlinear waves in self-gravitating compressible fluid and generalized Cole-Hopf substitutions;Physics of Wave Phenomena;2011-11-27

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