Abstract
This paper presents many new complex combined dark-bright soliton solutions obtained with the help of the accurate sine-Gordon expansion method to the B-type Kadomtsev-Petviashvili-Boussinesq equation with binary power order nonlinearity. With the use of some computational programs, we plot many new surfaces of the results obtained in this paper. In addition, we present the interactions between complex travelling wave patterns and their solitons.
Highlights
Mathematical models named nonlinear evaluation equations (NEEs) arise in different areas of nonlinear science such as plasma physics, quantum mechanics, hydro-dynamics molecular biology, nonlinear optics, stratum water wave, optics fibers, biological science, chemistry, etc
We find the following nonlinear ordinary differential equation (NODE) for B-type KPB equation: 2 3rk + c2 − cw U − 3wk[2] U2 − 2wk[3] U00 = 0
We have observed that all solutions found in this paper have satisfied the (3 + 1)dimensional B-type KPB equation with the help of some computational programs
Summary
Mathematical models named nonlinear evaluation equations (NEEs) arise in different areas of nonlinear science such as plasma physics, quantum mechanics, hydro-dynamics molecular biology, nonlinear optics, stratum water wave, optics fibers, biological science, chemistry, etc. Many new mathematical models used to describe today’s real-world problems have attracted the attention of experts from all over the world In this sense, to observe these models some important methods such as the trial equation method, extended tanh method, modified simple equation method, extended simplest equation method, modified extended tanh method, complex method, generalized hyperbolic-function method, the homogeneous balance method, the improve F-expansion method with a Riccati equation, the improved Bernoulli sub-equation function method, the modified exponential function method and many more methods [1–49]. To observe these models some important methods such as the trial equation method, extended tanh method, modified simple equation method, extended simplest equation method, modified extended tanh method, complex method, generalized hyperbolic-function method, the homogeneous balance method, the improve F-expansion method with a Riccati equation, the improved Bernoulli sub-equation function method, the modified exponential function method and many more methods [1–49] One of such models named as (3 + 1)-dimensional. In the last section of this paper, conclusions will be presented
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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.
