A general nonlocal variable coefficient KdV equation with shifted parity and delayed time reversal

A general nonlocal variable coefficient KdV equation with shifted parity and delayed time reversal Nonlinear Dyn https://doi.org/10.1007/s11071-018-4386-8 ORIGINAL PAPER A general nonlocal variable coefficient KdV equation with shifted parity and delayed time reversal Xiao-yan Tang · Shuai-jun Liu · Zu-feng Liang · Jian-yong Wang Received: 3 March 2018 / Accepted: 23 May 2018 © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract A general nonlocal time-dependent vari- Keywords Nonlocal variable coefficient KdV able coefficient KdV (VCKdV) equation with shifted equation · Shifted parity · Delayed time reversal · parity and delayed time reversal is derived from the Dipole blocking event nonlinear inviscid dissipative and equivalent barotropic vorticity equation in a β-plane. A special transforma- tion is established to change it into a nonlocal constant 1 Introduction coefficient KdV (CCKdV) equation with shifted parity and delayed time reversal. Making advantage of this Many events occurred in different places and differ- transformation, exact solutions of the nonlocal CCKdV ent times may have some mutual interactions. In order equation can be utilized to construct exact solutions of to model this type of interactions, nonlocal nonlin- the nonlocal VCKdV equation. Two kinds of nonlinear ear equations have been introduced both mathemati- wave excitations are presented explicitly and graphi- cally and physically. An important mathematical way http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Dynamics Springer Journals

A general nonlocal variable coefficient KdV equation with shifted parity and delayed time reversal

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Publisher
Springer Netherlands
Copyright
Copyright © 2018 by Springer Science+Business Media B.V., part of Springer Nature
Subject
Engineering; Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering
ISSN
0924-090X
eISSN
1573-269X
D.O.I.
10.1007/s11071-018-4386-8
Publisher site
See Article on Publisher Site

Abstract

Nonlinear Dyn https://doi.org/10.1007/s11071-018-4386-8 ORIGINAL PAPER A general nonlocal variable coefficient KdV equation with shifted parity and delayed time reversal Xiao-yan Tang · Shuai-jun Liu · Zu-feng Liang · Jian-yong Wang Received: 3 March 2018 / Accepted: 23 May 2018 © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract A general nonlocal time-dependent vari- Keywords Nonlocal variable coefficient KdV able coefficient KdV (VCKdV) equation with shifted equation · Shifted parity · Delayed time reversal · parity and delayed time reversal is derived from the Dipole blocking event nonlinear inviscid dissipative and equivalent barotropic vorticity equation in a β-plane. A special transforma- tion is established to change it into a nonlocal constant 1 Introduction coefficient KdV (CCKdV) equation with shifted parity and delayed time reversal. Making advantage of this Many events occurred in different places and differ- transformation, exact solutions of the nonlocal CCKdV ent times may have some mutual interactions. In order equation can be utilized to construct exact solutions of to model this type of interactions, nonlocal nonlin- the nonlocal VCKdV equation. Two kinds of nonlinear ear equations have been introduced both mathemati- wave excitations are presented explicitly and graphi- cally and physically. An important mathematical way

Journal

Nonlinear DynamicsSpringer Journals

Published: Jun 5, 2018

References

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