Invariant Manifolds of Hyperbolic Integrable Equations and their Applications-Reference-Cited by-同舟云学术

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Invariant Manifolds of Hyperbolic Integrable Equations and their Applications

Published:2021-08-14 Issue:3 Volume:257 Page:410-423
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Habibullin I. T.,Khakimova A. R.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s10958-021-05491-3.pdf

Reference20 articles.

1. M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, “Method for solving the sine-Gordon equation,” Phys. Rev. Lett., 30, No. 25, 1262–1264 (1973).

2. A. I. Bobenko and Yu. B. Suris, “Integrable systems on quad-graphs,” Int. Math. Res. Notices., No. 11, 573–611 (2002).

3. I. T. Habibullin and A. R. Khakimova, “On a method for constructing the Lax pairs for integrable models via a quadratic ansatz,” J. Phys. A: Math. Theor., 50, No. 30, 305206 (2017).

4. I. T. Habibullin and A. R. Khakimova, “Invariant manifolds and Lax pairs for integrable nonlinear chains,” Teor. Mat. Fiz., 191, No. 3, 369–388 (2017).

5. I. T. Habibullin, A. R. Khakimova, and M. N. Poptsova, “On a method for constructing the Lax pairs for nonlinear integrable equations,” J. Phys. A: Math. Theor., 49, No. 3, 1–35, 035202 (2016).

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Laplace transformations and sine-Gordon type integrable PDE;Journal of Physics A: Mathematical and Theoretical;2023-12-05

2. Symmetry structure of integrable hyperbolic third order equations;Journal of Physics A: Mathematical and Theoretical;2023-11-07

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