“Lin–Tsien equation”的意思、由来-开放百科全书

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Lin–Tsien equation

释义

References

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

1. ^Sergyeyev A. "New integrable (3+1)-dimensional systems and contact geometry", Lett. Math. Phys. 108 (2018), no. 2, 359-376, {{arXiv|1401.2122}}, https://arxiv.org/abs/1401.2122 {{doi|10.1007/s11005-017-1013-4}}

D. Zwillinger. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 138, 1997.
William F. Ames. [https://books.google.com/books?id=xwaZP3fxAzIC&dq=non+linear+quations+Tsien+equation&source=gbs_navlinks_s Nonlinear partial differential equations in engineering, Vol. 18]. Academic Press, p. 173, 1965.
C. Rogers, William F. Ames, [https://books.google.com/books?id=qyDE9V3AIn8C&dq=Lin%E2%80%93Tsien+equation+ames&source=gbs_navlinks_s Nonlinear boundary value problems in science and engineering]. Academic Press, p. 373, 1989.

1 : Partial differential equations

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