Symmetry analysis and some new exact solutions of some nonlinear KdV-like equations-Reference-Cited by-同舟云学术

Symmetry analysis and some new exact solutions of some nonlinear KdV-like equations

Published:2018-05-03 Issue:03 Volume:11 Page:1850040
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Abdel Kader A. H.¹,Abdel Latif M. S.¹^ORCID,El Bialy F.¹,Elsaid A.¹

Affiliation:

1. Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, P. O. 35516, Mansoura, Egypt

Abstract

In this paper, we obtained some new exact solutions of some nonlinear KdV-like equations using Lie point symmetry and [Formula: see text]-symmetry methods. The obtained solutions are in the form of doubly periodic, bright and dark soliton solutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557118500407

Reference16 articles.

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2. Bright and dark soliton solutions for the perturbed nonlinear Schrödinger’s equation with Kerr law and non-Kerr law nonlinearity

3. Exact solutions of a third-order ODE from thin film flow using λ-symmetry method

4. Symmetry Analysis of Differential Equations with Mathematica®

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