The Bifurcations and Exact Traveling Wave Solutions for a Nonlocal Hydrodynamic-Type System
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DOI: 10.1007/s10883-020-09509-y
Abstract: A hydrodynamic-type system taking into account nonlocal effects is investigated. The exact traveling wave solutions including smooth solitary waves solutions, pseudo-peakons, periodic peakons, compactons, kink, and anti-kink wave solutions and so on are derived via… read more here.
Keywords: wave solutions; type system; exact traveling; hydrodynamic type ... See more keywords
Global behavior of a max-type system of difference equations with four variables
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DOI: 10.1007/s12190-021-01543-8
Abstract: In this paper, we investigate global behavior of the following max-type system of difference equations with four variables $$\begin{aligned} \left\{ \begin{array}{ll}x_{n} = \max \Big \{A,\frac{z_{n-1}}{y_{n-2}}\Big \},\\ y_{n} = \max \Big \{B ,\frac{w_{n-1}}{x_{n-2}}\Big \},\\ z_{n} =… read more here.
Keywords: max type; system; max; system difference ... See more keywords
On the solutions of a max-type system of difference equations with period-two parameters
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DOI: 10.1186/s13662-018-1826-1
Abstract: AbstractIn this paper, we study the following max-type system of difference equations: {xn=max{An,yn−1xn−2},yn=max{Bn,xn−1yn−2},n∈{0,1,2,…},$$\textstyle\begin{cases}x_{n} = \max \{A_{n},\frac{y_{n-1}}{x_{n-2}} \},\\ y_{n} = \max \{B_{n} ,\frac{x_{n-1}}{y_{n-2}} \}, \end{cases}\displaystyle n\in \{0,1,2,\ldots\}, $$ where An,Bn∈(0,+∞)$A_{n},B_{n}\in(0, +\infty)$ are periodic sequences with period… read more here.
Keywords: difference equations; system; max type; type system ... See more keywords
On the solutions of a max-type system of difference equations of higher order
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DOI: 10.1186/s13662-020-02673-2
Abstract: In this paper, we study the following max-type system of difference equations of higher order: { x n = max { A , y n − t x n − s } , y n… read more here.
Keywords: difference equations; difference; max type; type system ... See more keywords