The short-pulse equation and associated constraints

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 44, 2009, Pages

  Horikis, Theodoros P ^a  

^a UNIVERSITY OF PELOPONNESE   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 72349093860     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/44/442004     Document Type: Article

References (9)

1. Schäfer T and Wayne C E 2004 Propagation of ultra-short optical pulses in cubic nonlinear media Physica D 196 90-105
2. Sakovich A and Sakovich S 2005 The short pulse equation is integrable J. Phys. Soc. Japan 74 239-41
3. Sakovich A and Sakovich S 2006 Solitary wave solutions of the short pulse equation J. Phys. A: Math. Gen. 39 L361-7
4. Victor K K, Thomas B B and Kofane T C 2007 On exact solutions of the Schäfer-Wayne short pulse equation: WKI eigenvalue problem J. Phys. A: Math. Theor. 40 5585-96
5. Ablowitz M J and Wang X-P 1997 Initial time layers and Kadomtsev-Petviashvili-type equations Stud. Appl. Math. 98 121-37
6. Ablowitz M J and Villarroel J 1991 On the Kadomtsev-Petviashvili equation and associated constraints Stud. Appl. Math. 85 195-213
7. Pelinovsky D and Sakovich A 2008 Global well-posedness of the short-pulse and sine-Gordon equations in energy space arXiv:0809.5052v1
8. Boiti M, Pempinelli F and Pogrebkov A 1994 Solutions of the KPI equation with smooth initial data Inverse Problems 10 505-19
9. Costanzino N, Manukian V and Jones C K R T 2008 Solitary waves of the regularized short pulse and Ostrovsky equations arXiv:0809.3294v1