A+ CATEGORY SCIENTIFIC UNIT

Wave fronts to some modifications of Korteweg–de Vries and Burgers–Korteweg–de Vries equations

Volume 101 / 2014

Bogdan Przeradzki, Katarzyna Szymańska-Dębowska Banach Center Publications 101 (2014), 163-168 MSC: Primary 34B15; Secondary 35Q53, 35A24. DOI: 10.4064/bc101-0-13

Abstract

The existence of a traveling wave with special properties to modified KdV and BKdV equations is proved. Nonlinear terms in the equations are defined by means of a function $f$ of an unknown $u$ satisfying some conditions.

Authors

  • Bogdan PrzeradzkiInstitute of Mathematics
    Technical University of Łódź
    ul. Wólczańska 215
    90-924 Łódź, Poland
    e-mail
  • Katarzyna Szymańska-DębowskaInstitute of Mathematics
    Technical University of Łódź
    ul. Wólczańska 215
    90-924 Łódź, Poland
    e-mail

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