We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Localized wave solutions and localized-kink solutions to a (3+1)-dimensional nonlinear evolution equation.
- Authors
Shao, Hangbing; Bilige, Sudao
- Abstract
Three types of solutions (namely, localized wave solutions and their two distinct types of interaction solutions) to a (3+1)-dimensional nonlinear evolution equation were acquired based on the Hirota bilinear method. The basic steps commenced with obtaining the Hirota bilinear form of the original equation, then solving it by using mathematical software, and ultimately the solutions to the original equation were derived by the bilinear transformation. The solutions of the Hirota bilinear equation were assumed as the superposition of arbitrary number of functions. For the first type of localized wave solutions, the solutions of the corresponding bilinear equation were the superposition of n quadratic positive functions. The second type of mixed solutions which reflected the interaction between localized waves and multi-kink waves, consisted of n positive quadratic function, n 1 exponential function and n 2 hyperbolic cosine functions. The last type solutions were the interaction solutions between the localized wave solutions and the k-kink ( k = 1 , 2 ) wave solutions. All three types of solutions contained localized wave solutions which are not homogeneous. Finally, an analysis of the dynamic properties of each type of solutions was conducted by introducing specific parameter values and generating plots.
- Subjects
NONLINEAR evolution equations; HYPERBOLIC functions; COSINE function; BILINEAR forms; EXPONENTIAL functions; BACKLUND transformations
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 5, p3749
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-09198-9