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“…During the study of wave propagation on liquid-filled tubes, Johnson presented a KdV equation model with damping, named KdV-Burgers equation (Cai et al, 2013):…”

confidence: 99%

“…During the study of wave propagation on liquid-filled tubes, Johnson presented a KdV equation model with damping, named KdV-Burgers equation (Cai et al, 2013):…”

confidence: 99%

“…where is the dispersion coefficient and " is the damping coefficient. Equation (1) can be used to study a series of important physical problems which contain weakly nonlinear dispersion as well as dissipation, such as the interaction between the laser and the plasma with the short wavelength that is close to the Debye length (Kawahara, 1970;Konno and Ichikawa, 1974;Zhu and Boswell, 1989;Neumayer et al, 2008), the flow of viscous liquid in elastic tubes (Cai et al, 2013), and so on. Most of the special phenomena in the above physical problems result from the competition between the geometric dispersion and the viscous dissipation in the systems.…”

confidence: 99%

“…The most important character of MIs is its multi-symplecticity, and other conservative properties are preserved excellently despite of not exactly [1,5,8]. Recently, numerical dispersion of MIs was analyzed [20]. In this article, we investigate an MI for NLSEWO and its global conservative properties.…”

confidence: 99%

“…In Refs. [8,18,23,33,36,39], symplectic and multi-symplectic schemes of the Maxwell's equations in an isotropic, lossless and sourceless medium were proposed. In Ref.…”

confidence: 99%