Lin–Tsien equation
From HandWiki
The Lin–Tsien equation (named after C. C. Lin and H. S. Tsien) is an integrable partial differential equation
Integrability of this equation follows from its being, modulo an appropriate linear change of dependent and independent variables, a potential form of the dispersionless KP equation. Namely, if satisfies the Lin–Tsien equation, then satisfies, modulo the said change of variables, the dispersionless KP equation. The Lin-Tsien equation admits a (3+1)-dimensional integrable generalization, see. [1]
References
- ↑ Sergyeyev, A. (2018). "New integrable (3+1)-dimensional systems and contact geometry". Letters in Mathematical Physics 108 (2): 359–376. doi:10.1007/s11005-017-1013-4. Bibcode: 2018LMaPh.108..359S.
- D. Zwillinger. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 138, 1997.
- Ames, William F. (1965). Nonlinear partial differential equations in engineering, Vol. 18. Academic Press. p. 173. ISBN 9780080955247. https://books.google.com/books?id=xwaZP3fxAzIC.
- Rogers, C.; Ames, William F. (1989). Nonlinear boundary value problems in science and engineering. Academic Press. p. 373. ISBN 9780080958705. https://books.google.com/books?id=qyDE9V3AIn8C.
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