New wave form solutions of nonlinear conformable time-fractional Zoomeron equation in (2 + 1)-dimensions


Hosseini K., Korkmaz A., Bekir A., Samadani F., Zabihi A., Topsakal M.

Waves in Random and Complex Media, vol.31, no.2, pp.228-238, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.1080/17455030.2019.1579393
  • Journal Name: Waves in Random and Complex Media
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.228-238
  • Keywords: Nonlinear time-fractional Zoomeron equation, conformable derivative, <inline-graphic xlink, href="twrm_a_1579393_ilm0002, gif", >, <mml, math>, <mml, mrow>, <mml, mtext>exp</mml, mtext>, </mml, mrow>, <mml, mo>(</mml, mo>, <mml, mrow>, <mml, mo>&#8722, </mml, mo>, <mml, mi>&#981, </mml, mi>, <mml, mo>(</mml, mo>, <mml, mi>&#949, </mml, mi>, <mml, mo>)</mml, mo>, </mml, mrow>, <mml, mo>)</mml, mo>, </mml, math>, -expansion approach, modified Kudryashov method, kink, singular kink, and periodic wave solutions
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

© 2019 Informa UK Limited, trading as Taylor & Francis Group.Under investigation in the current paper is the nonlinear conformable time-fractional Zoomeron equation in (2 + 1)-dimensions, which is a model to display the novel phenomena associated with boomerons and trappons. The well-designed techniques, (Formula presented.) -expansion approach and modified Kudryashov method are formally utilized to produce a variety of wave form solutions such as kink, singular kink, and periodic wave solutions for the governing model. Results confirm the effectiveness of the methods for extracting different wave form solutions of nonlinear time-fractional differential equations.