A generalized ansatz method (SEsM) is shown to reproduce Hirota's KdV multisoliton solutions and to yield an exact solution of a nonintegrable fifth-order KdV-type equation.
Mathematical model of a flow of reacting substances in a channel of network
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and social processes [3, 4]. In our previous research we have discussed the flow of a single substance in a channel of network. It may happen however that two substances flow in the same channel of network. In addition the substances may react and then the question arises about the distribution of the amounts of the substances in the segments of the channel. A study of the dynamics of the flow of the substances as well as a study of the distribution of the substances is presented in this paper on the base of a discrete - time model of flow of substances in the nodes of a channel of a network.
citation-role summary
background 1
citation-polarity summary
fields
nlin.SI 1years
2019 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
The Simple Equations Method (SEsM) and the use of exponential functions for obtaining simple and multisoliton solutions of some nonlinear partial differential equations
A generalized ansatz method (SEsM) is shown to reproduce Hirota's KdV multisoliton solutions and to yield an exact solution of a nonintegrable fifth-order KdV-type equation.