Abstract
The exact solutions of nonlinear evolution equations (NLEEs) play a crucial role to make known the internal mechanism of compound physical phenomena. In this article, we implement the new generalized (G’/G)-expansion method for seeking the exact solutions of NLEEs via the Benjamin-Ono equation and achieve exact solutions involving parameters. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, trigonometric, and rational functions. It is shown that the new approach of generalized G’/G -expansion method is a powerful and concise mathematical tool for solving nonlinear evolution equations.
Highlights
Nonlinear wave phenomena appears in various scientific and engineering fields such as fluid mechanics, plasma physics, optical fibers, biophysics, geochemistry, electricity, propagation of shallow water waves, high-energy physics, condensed matter physics, quantum mechanics, elastic media, biology, solid state physics, chemical kinematics, chemical physics and so on
The exact solutions of nonlinear evolution equations (NLEEs) play an important role in the study of nonlinear physical phenomena
The aim of this article is to look for new study relating to the new generalized (G′ / G) expansion method for solving the Benjamin-Ono equation to make obvious the effectiveness and usefulness of the method
Summary
Nonlinear wave phenomena appears in various scientific and engineering fields such as fluid mechanics, plasma physics, optical fibers, biophysics, geochemistry, electricity, propagation of shallow water waves, high-energy physics, condensed matter physics, quantum mechanics, elastic media, biology, solid state physics, chemical kinematics, chemical physics and so on. This is noticed to arise in engineering, chemical and biological applications. All the fundamental equations in physical sciences are nonlinear and, in general, such NLEEs are often very complicated to solve explicitly. These methods are the homogeneous balance method [1], the tanh-function method [2], the extended tanh-function method [3, 4], the Exp-function method [5,6,7], the sine-cosine method [8], the modified Exp-function method [9], the generalized Riccati equation [10], the Jacobi elliptic function expansion method [11, 12], the Hirota’s bilinear method [13], the Miura transformation [14], the (G′ / G)
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
