PSEUDO: Applications of Streams and Lazy Evaluation to Integrable Models. Nature of problem: Determination of equations of motion and conserved charges in the theory of integrable models. Solution method: Pseudo-differential Lax operators. Restrictions: Handles only one dimensional pseudo-differential operators with scalar coefficients. (Source:

References in zbMATH (referenced in 40 articles , 1 standard article )

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  1. Ustinov, N. V.: Integrable generalizations of the sine-Gordon, short pulse, and reduced Maxwell-Bloch equations (2019)
  2. Xu, Jian: Long-time asymptotics for the short pulse equation (2018)
  3. Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech: The short pulse equation by a Riemann-Hilbert approach (2017)
  4. Li, Min; Yin, Zhaoyang: Global existence and local well-posedness of the single-cycle pulse equation (2017)
  5. Popowicz, Z.: Lax representations for matrix short pulse equations (2017)
  6. Johnson, Edward R.; Pelinovsky, Dmitry E.: Orbital stability of periodic waves in the class of reduced Ostrovsky equations (2016)
  7. Ling, Liming; Feng, Bao-Feng; Zhu, Zuonong: Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation (2016)
  8. Li, Zhu; Geng, Xianguo; Guan, Liang: Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications (2016)
  9. Matsuno, Yoshimasa: Integrable multi-component generalization of a modified short pulse equation (2016)
  10. Shen, Shoufeng; Feng, Bao-Feng; Ohta, Yasuhiro: From the real and complex coupled dispersionless equations to the real and complex short pulse equations (2016)
  11. Tu, Guizhang: Commutator representations and roots of pseudo differential operators (2016)
  12. Coclite, Giuseppe Maria; di Ruvo, Lorenzo: Well-posedness results for the short pulse equation (2015)
  13. Coclite, Giuseppe Maria; di Ruvo, Lorenzo: Dispersive and diffusive limits for Ostrovsky-Hunter type equations (2015)
  14. Coclite, Giuseppe Maria; di Ruvo, Lorenzo: Wellposedness of bounded solutions of the non-homogeneous initial boundary for the short pulse equation (2015)
  15. Feng, Bao-Feng: Complex short pulse and coupled complex short pulse equations (2015)
  16. Gupta, R. K.; Kumar, Vikas; Jiwari, Ram: Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients (2015)
  17. Brunelli, J. C.; Sakovich, S.: Hamiltonian structures for the Ostrovsky-Vakhnenko equation (2013)
  18. Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng: Wave-breaking and peakons for a modified Camassa-Holm equation (2013)
  19. Pelinovsky, Dmitry; Schneider, Guido: Rigorous justification of the short-pulse equation (2013)
  20. Rui, Weiguo: Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind (2013)

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