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- Title
Non‐singular complexiton, singular complexiton and complex multiple soliton solutions to the (3 + 1)‐dimensional nonlinear evolution equation.
- Authors
Wang, Kang‐Jia; Shi, Feng; Xu, Peng; Li, Shuai
- Abstract
This research mainly concerned with some new solutions of the (3 + 1)‐dimensional nonlinear evolution equation (NEE). First, we extract the resonant multiple soliton solutions (RMSSs) by taking advantage of the linear superposition principle (LSP) and weight algorithm (WA). Then the non‐singular complexiton and singular complexiton solutions are developed by introducing pairs of the conjugate parameters. Besides, the complex multiple‐soliton solutions are also explored with the aid of the bilinear approach. The graph descriptions of the attained solutions are paraded to show the dynamical properties. The outcomes of this work are all new and are desirous to bring some new perspective to the investigation of the complexiton solutions to the other partial differential equations (PDEs).
- Subjects
QUANTUM superposition; PARTIAL differential equations; NONLINEAR evolution equations
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 8, p6946
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9951