Solitons and other exact solutions for two nonlinear PDEs in mathematical physics using the generalized projective Riccati equations method

DOI10.1155/2018/6870310zbMath1404.35090OpenAlexW2802595902WikidataQ129911333 ScholiaQ129911333MaRDI QIDQ1629267

A. M. Almsri, K. A. E. Alurrfi, A. M. Shahoot, I. M. Hassan

Publication date: 11 December 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/6870310

zbMATH Keywords

nonlinear Schrödinger equationkink and antikink solitonsnonlinear quantum Zakharov-Kuznetsov equation

Mathematics Subject Classification ID

Soliton solutions (35C08)

Related Items (3)

Optical solitons of NLS-type differential equations by extended direct algebraic method ⋮ Bifurcations and exact traveling wave solutions for the nonlinear Schrödinger equation with fourth-order dispersion and dual power law nonlinearity ⋮ Optical soliton solutions to the \((2+1)\)-dimensional Chaffee-Infante equation and the dimensionless form of the Zakharov equation

Uses Software

• Maple

Cites Work

• Extended generalized \((Zakh\frac{G'}{G})\)-expansion method for solving the nonlinear quantum Zakharov-Kuznetsov equation
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• A note on the \(G'/G\)-expansion method
• New types of exact solutions for the fourth-order dispersive cubic-quintic nonlinear Schrödinger equation
• Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
• A new mapping method and its applications to nonlinear partial differential equations
• New exact solitary wave and multiple soliton solutions of quantum Zakharov-Kuznetsov equation
• The (\(\frac{G'}{G})\)-expansion method and its applications to some nonlinear evolution equations in the mathematical physics
• Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
• Exact solitary wave solutions of nonlinear wave equations.
• The generalized projective Riccati equations method for solving nonlinear evolution equations in mathematical physics
• Extended auxiliary equation method and its applications to three generalized NLS equations
• Extended auxiliary equation method and its applications for finding the exact solutions for a class of nonlinear Schrödinger-type equations
• On the integrability of systems of nonlinear ordinary differential equations with superposition principles
• Link between solitary waves and projective Riccati equations

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