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 30 articles , 1 standard article )

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  1. Johnson, Edward R.; Pelinovsky, Dmitry E.: Orbital stability of periodic waves in the class of reduced Ostrovsky equations (2016)
  2. Matsuno, Yoshimasa: Integrable multi-component generalization of a modified short pulse equation (2016)
  3. Tu, Guizhang: Commutator representations and roots of pseudo differential operators (2016)
  4. Coclite, Giuseppe Maria; di Ruvo, Lorenzo: Dispersive and diffusive limits for Ostrovsky-Hunter type equations (2015)
  5. Coclite, Giuseppe Maria; di Ruvo, Lorenzo: Well-posedness results for the short pulse equation (2015)
  6. Coclite, Giuseppe Maria; di Ruvo, Lorenzo: Wellposedness of bounded solutions of the non-homogeneous initial boundary for the short pulse equation (2015)
  7. Gupta, R.K.; Kumar, Vikas; Jiwari, Ram: Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients (2015)
  8. Brunelli, J.C.; Sakovich, S.: Hamiltonian structures for the Ostrovsky-Vakhnenko equation (2013)
  9. Gui, Guilong; Liu, Yue; Olver, Peter J.; Qu, Changzheng: Wave-breaking and peakons for a modified Camassa-Holm equation (2013)
  10. Pelinovsky, Dmitry; Schneider, Guido: Rigorous justification of the short-pulse equation (2013)
  11. Rui, Weiguo: Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind (2013)
  12. Feng, Bao-Feng: An integrable coupled short pulse equation (2012)
  13. Feng, Bao-Feng; Inoguchi, Jun-Ichi; Kajiwara, Kenji; Maruno, Ken-Ichi; Ohta, Yasuhiro: Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves (2011)
  14. Yao, Yuqin; Huang, Yehui; Dong, Guixiang; Zeng, Yunbo: The new integrable deformations of a short pulse equation and sine-Gordon equation, and their solutions (2011)
  15. Bourgeat, Alain; Jurak, Mladen: A two level scaling-up method for multiphase flow in porous media; numerical validation and comparison with other methods (2010)
  16. Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro: Integrable discretizations of the short pulse equation (2010)
  17. Huber, Alfred: The short pulse equation -- a symmetry study (2010)
  18. Pelinovsky, Dmitry; Sakovich, Anton: Global well-posedness of the short-pulse and sine-Gordon equations in energy space (2010)
  19. Rogers, C.; Schief, W.K.; Szereszewski, A.: Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations (2010)
  20. Shen, Y.; Williams, F.; Whitaker, N.; Kevrekidis, P.G.; Saxena, A.; Frantzeskakis, D.J.: On some single-hump solutions of the short-pulse equation and their periodic generalizations (2010)

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