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Article detail · 2017

New exact solutions of Burgers type equations with conformable derivative

Journal

Waves in Random and Complex Media

ISSN 1745-5030

The ISSN points to another catalog journal; the name is from the YÖKSİS record.

YÖKSİS OpenAlex SJR Q2 JCR Q1 Citations 232 Top 1% Percentile 99.7% FWCI 21.66
Year
2017
DOI
10.1080/17455030.2016.1205237
Type
article

Data source split

  • YÖKSİS YÖKSİS article record
  • YÖKSİS venue Waves in Random and Complex Media
  • Catalog match (ISSN) Waves in Random and Complex Media (discontinued)
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

OpenAlex record

Abstract

OpenAlex · English

In this paper, the new exact solutions for some nonlinear partial differential equations are obtained within the newly established conformable derivative. We use the first integral method to establish the exact solutions for time-fractional Burgers’ equation, modified Burgers’ equation, and Burgers–Korteweg–de Vries equation. We report that this method is efficient and it can be successfully used to obtain new analytical solutions of nonlinear FDEs.

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

232 citations

OpenAlex cited_by_count (cache / database)

71 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. Approximate solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the normal direction in Minkowski space 2021 Citations 90 · OpenAlex
  2. Hybrid optical electromotive with Heisenberg ferromagnetic system by fractional approach 2021 Citations 90 · OpenAlex
  3. Approximate solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the normal direction in Minkowski space 2021 Citations 90 · OpenAlex
  4. Novel solution methods for initial boundary value problems of fractional order with conformable differentiation 2018 Citations 72 · OpenAlex
  5. On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusion 2017 Citations 66 · OpenAlex
  6. On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusion 2017 Citations 66 · OpenAlex
  7. On the conformable nonlinear schrödinger equation with second order spatiotemporal and group velocity dispersion coefficients 2021 Citations 62 · OpenAlex
  8. On the conformable nonlinear schrödinger equation with second order spatiotemporal and group velocity dispersion coefficients 2021 Citations 62 · OpenAlex
  9. Numerical Solutions of Fractional Burgers’ Type Equations with Conformable Derivative 2019 Citations 55 · OpenAlex
  10. Numerical Solutions of Fractional Burgers’ Type Equations with Conformable Derivative 2019 Citations 55 · OpenAlex

Authors

  1. YÜCEL ÇENESİZ
  2. DUMITRU BALEANU
  3. ALİ KURT PAMUKKALE ÜNİVERSİTESİ
  4. ORKUN TAŞBOZAN HATAY MUSTAFA KEMAL ÜNİVERSİTESİ