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The short-pulse equation and associated constraints

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Theodoros P Horikis

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[1]
Schäfer T and Wayne C E 2004 Propagation of ultra-short optical pulses in cubic nonlinear media Physica D 196 90-105
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Sakovich A and Sakovich S 2005 The short pulse equation is integrable J. Phys. Soc. Japan 74 239-41
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Sakovich A and Sakovich S 2006 Solitary wave solutions of the short pulse equation J. Phys. A: Math. Gen. 39 L361-7
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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
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Ablowitz M J and Wang X-P 1997 Initial time layers and Kadomtsev-Petviashvili-type equations Stud. Appl. Math. 98 121-37
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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
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[8]
Boiti M, Pempinelli F and Pogrebkov A 1994 Solutions of the KPI equation with smooth initial data Inverse Problems 10 505-19
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Costanzino N, Manukian V and Jones C K R T 2008 Solitary waves of the regularized short pulse and Ostrovsky equations arXiv:0809.3294v1
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