Yang, Yiling; Fan, Engui Soliton resolution for the short-pulse equation. (English) Zbl 1459.35328 J. Differ. Equations 280, 644-689 (2021). MSC: 35Q51 35Q15 37K15 35C20 78A60 35L20 35B40 35B35 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{E. Fan}, J. Differ. Equations 280, 644--689 (2021; Zbl 1459.35328) Full Text: DOI arXiv OpenURL
van der Mee, Cornelis Complex short-pulse solutions by gauge transformation. (English) Zbl 1439.35464 J. Geom. Phys. 148, Article ID 103539, 11 p. (2020). MSC: 35Q60 35Q53 78A60 35Q40 82D40 35Q55 45L05 PDF BibTeX XML Cite \textit{C. van der Mee}, J. Geom. Phys. 148, Article ID 103539, 11 p. (2020; Zbl 1439.35464) Full Text: DOI OpenURL
Sato, S.; Oguma, K.; Matsuo, T.; Feng, B.-F. A robust numerical integrator for the short pulse equation near criticality. (English) Zbl 1416.78035 J. Comput. Appl. Math. 361, 343-365 (2019). MSC: 78M20 65M06 78A60 PDF BibTeX XML Cite \textit{S. Sato} et al., J. Comput. Appl. Math. 361, 343--365 (2019; Zbl 1416.78035) Full Text: DOI OpenURL
Guo, Yingying; Yin, Zhaoyang Local well-posedness and blow-up phenomena of the generalized short pulse equation. (English) Zbl 1414.78011 J. Math. Phys. 60, No. 4, 041505, 12 p. (2019). MSC: 78A60 35B44 49K40 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{Z. Yin}, J. Math. Phys. 60, No. 4, 041505, 12 p. (2019; Zbl 1414.78011) Full Text: DOI OpenURL
Yu, Shengqi; Yin, Xiaoyu The Cauchy problem for a generalized two-component short pulse system with high-order nonlinearities. (English) Zbl 1416.35255 J. Math. Anal. Appl. 475, No. 2, 1427-1447 (2019). MSC: 35Q60 78A60 78A40 35L20 35B44 PDF BibTeX XML Cite \textit{S. Yu} and \textit{X. Yin}, J. Math. Anal. Appl. 475, No. 2, 1427--1447 (2019; Zbl 1416.35255) Full Text: DOI OpenURL
Xu, Jian On zeros of the scattering data of the initial value problem for the short pulse equation. (English) Zbl 1417.35082 Appl. Math. Lett. 94, 8-12 (2019). MSC: 35Q15 37K15 35B40 78A60 81V80 PDF BibTeX XML Cite \textit{J. Xu}, Appl. Math. Lett. 94, 8--12 (2019; Zbl 1417.35082) Full Text: DOI OpenURL
Ustinov, N. V. Integrable generalizations of the sine-Gordon, short pulse, and reduced Maxwell-Bloch equations. (English) Zbl 1410.35214 J. Math. Phys. 60, No. 1, 013503, 18 p. (2019). MSC: 35Q55 37K15 35C08 78A60 35B44 35Q60 PDF BibTeX XML Cite \textit{N. V. Ustinov}, J. Math. Phys. 60, No. 1, 013503, 18 p. (2019; Zbl 1410.35214) Full Text: DOI OpenURL
Matsuno, Yoshimasa Integrable multi-component generalization of a modified short pulse equation. (English) Zbl 1354.78011 J. Math. Phys. 57, No. 11, 111507, 23 p. (2016). MSC: 78A60 35C08 37K10 37K40 PDF BibTeX XML Cite \textit{Y. Matsuno}, J. Math. Phys. 57, No. 11, 111507, 23 p. (2016; Zbl 1354.78011) Full Text: DOI arXiv OpenURL
Feng, Bao-Feng An integrable coupled short pulse equation. (English) Zbl 1242.78022 J. Phys. A, Math. Theor. 45, No. 8, Article ID 085202, 14 p. (2012). Reviewer: Andreas Knorr (Berlin) MSC: 78A60 35Q60 35Q55 78A40 PDF BibTeX XML Cite \textit{B.-F. Feng}, J. Phys. A, Math. Theor. 45, No. 8, Article ID 085202, 14 p. (2012; Zbl 1242.78022) Full Text: DOI OpenURL
Yao, Yuqin; Huang, Yehui; Dong, Guixiang; Zeng, Yunbo The new integrable deformations of a short pulse equation and sine-Gordon equation, and their solutions. (English) Zbl 1208.81101 J. Phys. A, Math. Theor. 44, No. 6, Article ID 065201, 15 p. (2011). MSC: 81Q37 78A50 82D77 35Q55 PDF BibTeX XML Cite \textit{Y. Yao} et al., J. Phys. A, Math. Theor. 44, No. 6, Article ID 065201, 15 p. (2011; Zbl 1208.81101) Full Text: DOI arXiv OpenURL
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro Integrable discretizations of the short pulse equation. (English) Zbl 1189.78051 J. Phys. A, Math. Theor. 43, No. 8, Article ID 085203, 14 p. (2010). Reviewer: Aleksander Pankov (Baltimore) MSC: 78A60 PDF BibTeX XML Cite \textit{B.-F. Feng} et al., J. Phys. A, Math. Theor. 43, No. 8, Article ID 085203, 14 p. (2010; Zbl 1189.78051) Full Text: DOI arXiv OpenURL
Pietrzyk, Monika; Kanattsikov, I.; Bandelow, Uwe On the propagation of vector ultra-short pulses. (English) Zbl 1172.35502 J. Nonlinear Math. Phys. 15, No. 2, 162-170 (2008). MSC: 35Q60 78A50 78A60 78A97 PDF BibTeX XML Cite \textit{M. Pietrzyk} et al., J. Nonlinear Math. Phys. 15, No. 2, 162--170 (2008; Zbl 1172.35502) Full Text: DOI OpenURL
Brunelli, J. C. The bi-Hamiltonian structure of the short pulse equation. (English) Zbl 1181.37094 Phys. Lett., A 353, No. 6, 475-478 (2006). MSC: 37K10 78A60 35Q53 PDF BibTeX XML Cite \textit{J. C. Brunelli}, Phys. Lett., A 353, No. 6, 475--478 (2006; Zbl 1181.37094) Full Text: DOI arXiv OpenURL
Brunelli, J. C. The short pulse hierarchy. (English) Zbl 1111.35056 J. Math. Phys. 46, No. 12, 123507, 9 p. (2005). MSC: 35Q53 78A60 PDF BibTeX XML Cite \textit{J. C. Brunelli}, J. Math. Phys. 46, No. 12, 123507, 9 p. (2005; Zbl 1111.35056) Full Text: DOI arXiv OpenURL