Abundant lumps and their interaction solutions of (3+1)-dimensional linear PDEs
By Wenxiu Ma. Journal of Geometry and Physics, 2018
181 citations recorded by the source corpus.
Abstract The paper aims to explore the existence of diverse lump and interaction solutions to linear partial differential equations in (3+1)-dimensions. The remarkable richness of exact solutions to a class of linear partial differential equations in (3+1)-dimensions will be exhibited through Maple symbolic computations, which yields exact lump, lump-periodic and lump–soliton solutions. The results expand the understanding of lump, freak wave and breather solutions and their interaction solutions in soliton theory.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/1863dfa27888ec49a1f22d7caa66889bbab5e482
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions (2019, background): “Some other recent studies also demonstrate the remarkable richness of lumps and interaction solutions in the case of linear partial differential equations in (3 + 1)-dimensions [28,29] and (4 + 1)-dimensions [30].”