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- Title
The determinant representation of Ward soliton solutions and its dynamical behaviors.
- Authors
Ling, Liming; Yang, Honghao
- Abstract
In this work, we constructed the multi-soliton solutions to the Ward equation with the help of the generalized Darboux transformation method. Importantly, we obtained the determinant representation of the Ward multi-soliton solutions with trivial and nontrivial scattering. All calculations indicate that the Darboux transformation method is an effective and straightforward way to generate the Ward solutions. These obtained determinantal solutions are particularly useful for analyzing the dynamical behaviors of the energy density functions of the Ward multi-soliton solutions. By investigating the energy density figures, we illustrated the nontrivial scattering properties of the Ward multi-soliton solutions. These results are meaningful for quantum field theory and could be utilized to provide an intuitive description of the particle interactions.
- Subjects
DARBOUX transformations; QUANTUM field theory; PARTICLE interactions; ENERGY density; ENERGY function; HOSPITAL wards
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 9, p7417
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-024-09453-7