Title

Similarity Solutions of the Nonlinear Schrödinger Equation

Abstract

General similarity solution of the nonlinear Schrödinger equation is obtained by using group-theoretic methods. Similarity solutions for several special cases are also found. Finally, a solitary wave solution of the (1 + 2)-dimensional nonlinear Schrödinger equation in deep water is derived. © 1994, Academic Press, Inc.

Publication Date

11-1-1994

Publication Title

Journal of Mathematical Analysis and Applications

Volume

187

Issue

3

Number of Pages

851-863

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1006/jmaa.1994.1394

Socpus ID

0040998252 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0040998252

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