JOURNAL ARTICLE

A q-homotopy analysis transformation method for solving (2+1)-dimensional coupled fractional nonlinear Schrödinger equations.

  • Published In: International Journal of Geometric Methods in Modern Physics, 2026, v. 23, n. 2. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Wang, Panpan; Feng, Xiufang; He, Shangqin 3 of 3

Abstract

The Schrödinger equation and its variants have wide-ranging applications in physics, and proposed here is a hybrid algorithm for solving (2+1)-dimensional coupled fractional nonlinear Schrödinger equations. The algorithm uses the q -homotopy analysis method combined with Laplace transformation to obtain approximate solutions, and their existence and uniqueness are established using fixed-point theory. Numerical simulations confirm the effectiveness of the algorithm, showing that its approximate solutions are highly accurate with low computational complexity. This approach offers rapidly converging series solutions for various partial differential equations. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Geometric Methods in Modern Physics. 2026/02, Vol. 23, Issue 2, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2026
  • ISSN:0219-8878
  • DOI:10.1142/S0219887825501440
  • Accession Number:190513287
  • Copyright Statement:Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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