Published February 2018
| Version v1
Journal article
A modified approach for a reliable study of new nonlinear equation: two-mode Korteweg–de Vries–Burgers equation
- 1. Jordan University of Science and Technology, Department of Mathematics and Statistics (Jordan)
- 2. Al al-Bayt University, Department of Mathematics (Jordan)
- 3. UAE University, Department of Mathematical Sciences (United Arab Emirates)
Description
In this paper, we establish a new nonlinear equation which is called the two-mode Korteweg–de Vries–Burgers equation (TMKdV–BE). The new equation describes the propagation of two different wave modes simultaneously. First, we introduce a new Cole–Hopf transformation needed for the modified simplified bilinear method to find necessary conditions on the solution of TMKdV–BE. Also, a finite series in terms of tanh–coth function is presented as an alternative method to study the solution of the equation. Finally, the reliability of the obtained results is discussed in the last section.
Additional details
Identifiers
Publishing Information
- Journal Title
- Nonlinear Dynamics
- Journal Volume
- 91
- Journal Issue
- 3
- Journal Page Range
- p. 1619-1626
- ISSN
- 0924-090X
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 50016757
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- EQUATIONS; KORTEWEG-DE VRIES EQUATION; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; SIMULATION; WAVE PROPAGATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2018 Springer Science+Business Media B.V., part of Springer Nature