Journal
NONLINEAR DYNAMICS
Volume 104, Issue 2, Pages 1595-1602Publisher
SPRINGER
DOI: 10.1007/s11071-021-06359-6
Keywords
A new (3 + 1)-dimensional Schrö dinger equation; Zero curvature equation; Soliton solutions; Conservation laws
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Funding
- Natural Science Foundation of Hebei Province of China [A2018207030]
- Youth Key Program of Hebei University of Economics and Business [2018QZ07]
- Key Program of Hebei University of Economics and Business [2020ZD11]
- Youth Team Support Program of Hebei University of Economics and Business
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In this paper, a new (3+1)-dimensional Schrodinger equation is derived for the first time based on the extended (3+1)-dimensional zero curvature equation, using the compatibility condition. Additionally, some soliton solutions are presented, and conservation laws are obtained.
In the present paper, a new (3 + 1)-dimensional Schrodinger equation in Quantum Mechanics is derived. Based on the extended (3 + 1)-dimensional zero curvature equation, this equation is derived for the first time via the compatibility condition. Meanwhile, some soliton solutions are presented. Finally, conservation laws also obtained.
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