Journal
NONLINEAR DYNAMICS
Volume 92, Issue 3, Pages 815-825Publisher
SPRINGER
DOI: 10.1007/s11071-018-4092-6
Keywords
Nonlocal NLS equation; Shifted parity; Delayed time reversal; Modulational instability; Periodic waves
Categories
Funding
- National Natural Science Foundation of China [11675055, 11475052]
- Shanghai Knowledge Service Platform for Trustworthy Internet of Things [ZF1213]
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A general nonlocal nonlinear Schrodinger equation with shifted parity, charge-conjugate and delayed time reversal is derived from the nonlinear inviscid dissipative and equivalent barotropic vorticity equation in a -plane. The modulational instability (MI) of the obtained system is studied, which reveals a number of possibilities for the MI regions due to the generalized dispersion relation that relates the frequency and wavenumber of the modulating perturbations. Exact periodic solutions in terms of Jacobi elliptic functions are obtained, which, in the limit of the modulus approaches unity, reduce to soliton, kink solutions and their linear superpositions. Representative profiles of different nonlinear wave excitations are displayed graphically. These solutions can be used to model different blocking events in climate disasters. As an illustration, a special approximate solution is given to describe a kind of two correlated dipole blocking events.
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