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Volume 29, Issue 1
Infinite Sequence Solutions for Space-Time Fractional Symmetric Regularized Long Wave Equation

Zhouzheng Kang

DOI: 10.4208/jpde.v29.n1.5

J. Part. Diff. Eq., 29 (2016), pp. 48-58.

Published online: 2016-03

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  • Abstract
In this paper, we investigate the space-time fractional symmetric regularized long wave equation. By using the Bäcklund transformations and nonlinear superposition formulas of solutions to Riccati equation, we present infinite sequence solutions for space-time fractional symmetric regularized long wave equation. This method can be extended to solve other nonlinear fractional partial differential equations.
  • Keywords

Space-time fractional symmetric regularized long wave equation Bäcklund transformations nonlinear superposition formulas exact solutions

  • AMS Subject Headings

35A24, 35R11, 35-04

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zhzhkang126.com (Zhouzheng Kang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-29-48, author = {Kang , Zhouzheng}, title = {Infinite Sequence Solutions for Space-Time Fractional Symmetric Regularized Long Wave Equation}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {1}, pages = {48--58}, abstract = { In this paper, we investigate the space-time fractional symmetric regularized long wave equation. By using the Bäcklund transformations and nonlinear superposition formulas of solutions to Riccati equation, we present infinite sequence solutions for space-time fractional symmetric regularized long wave equation. This method can be extended to solve other nonlinear fractional partial differential equations.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n1.5}, url = {http://global-sci.org/intro/article_detail/jpde/5078.html} }
TY - JOUR T1 - Infinite Sequence Solutions for Space-Time Fractional Symmetric Regularized Long Wave Equation AU - Kang , Zhouzheng JO - Journal of Partial Differential Equations VL - 1 SP - 48 EP - 58 PY - 2016 DA - 2016/03 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n1.5 UR - https://global-sci.org/intro/article_detail/jpde/5078.html KW - Space-time fractional symmetric regularized long wave equation KW - Bäcklund transformations KW - nonlinear superposition formulas KW - exact solutions AB - In this paper, we investigate the space-time fractional symmetric regularized long wave equation. By using the Bäcklund transformations and nonlinear superposition formulas of solutions to Riccati equation, we present infinite sequence solutions for space-time fractional symmetric regularized long wave equation. This method can be extended to solve other nonlinear fractional partial differential equations.
Zhouzheng Kang. (2019). Infinite Sequence Solutions for Space-Time Fractional Symmetric Regularized Long Wave Equation. Journal of Partial Differential Equations. 29 (1). 48-58. doi:10.4208/jpde.v29.n1.5
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