We consider a modified Noguchi network and study the impact of the nonlinear quadratic dispersion on the dynamics of modulated waves. In the semi-discrete limit, we show that the dynamics of these waves are governed b...We consider a modified Noguchi network and study the impact of the nonlinear quadratic dispersion on the dynamics of modulated waves. In the semi-discrete limit, we show that the dynamics of these waves are governed by a nonlinear cubic Schrodinger equation. From the graphical analysis of the coefficients of this equation, it appears that the nonlinear quadratic dispersion counterbalances the effects of the linear dispersion in the frequency domain. Moreover, we establish that this nonlinear quadratic dispersion provokes the disappearance of some regions of modulational instability in the dispersion curve compared to the results earlier obtained by Pelap et al.(Phys. Rev. E 91 022925(2015)). We also find that the nonlinear quadratic dispersion limit considerably affects the nature, stability, and characteristics of the waves which propagate through the system. Furthermore, the results of the numerical simulations performed on the exact equations describing the network are found to be in good agreement with the analytical predictions.展开更多
卡洛·斯卡帕于1972年策划了主题为"四个为威尼斯而生的作品"(Quattro Progetti per Venezia)一展,展示并探讨了勒·柯布西耶、弗兰克·劳埃德·赖特、路易·康和野口勇这四位大师未能在威尼斯实现的作...卡洛·斯卡帕于1972年策划了主题为"四个为威尼斯而生的作品"(Quattro Progetti per Venezia)一展,展示并探讨了勒·柯布西耶、弗兰克·劳埃德·赖特、路易·康和野口勇这四位大师未能在威尼斯实现的作品。四个作品都尝试汲取地方性元素并向威尼斯城市空间注入新鲜血液,试图从某种时空意义上重新诠释威尼斯。40多年后,美国建筑师罗伯特·麦卡特(Robert McCarter)在2018年第16届威尼斯建筑双年展向卡洛·斯卡帕致敬,以"场所中的自由空间:四个为威尼斯而生却未被实现的现代建筑作品"为主题,重展当年的未实现之作。文章着眼于回顾这四个因历史原因为威尼斯而生,却终与其擦肩而过的作品,试图浅析其时代背景和未能实现的原因。展开更多
文摘We consider a modified Noguchi network and study the impact of the nonlinear quadratic dispersion on the dynamics of modulated waves. In the semi-discrete limit, we show that the dynamics of these waves are governed by a nonlinear cubic Schrodinger equation. From the graphical analysis of the coefficients of this equation, it appears that the nonlinear quadratic dispersion counterbalances the effects of the linear dispersion in the frequency domain. Moreover, we establish that this nonlinear quadratic dispersion provokes the disappearance of some regions of modulational instability in the dispersion curve compared to the results earlier obtained by Pelap et al.(Phys. Rev. E 91 022925(2015)). We also find that the nonlinear quadratic dispersion limit considerably affects the nature, stability, and characteristics of the waves which propagate through the system. Furthermore, the results of the numerical simulations performed on the exact equations describing the network are found to be in good agreement with the analytical predictions.
文摘卡洛·斯卡帕于1972年策划了主题为"四个为威尼斯而生的作品"(Quattro Progetti per Venezia)一展,展示并探讨了勒·柯布西耶、弗兰克·劳埃德·赖特、路易·康和野口勇这四位大师未能在威尼斯实现的作品。四个作品都尝试汲取地方性元素并向威尼斯城市空间注入新鲜血液,试图从某种时空意义上重新诠释威尼斯。40多年后,美国建筑师罗伯特·麦卡特(Robert McCarter)在2018年第16届威尼斯建筑双年展向卡洛·斯卡帕致敬,以"场所中的自由空间:四个为威尼斯而生却未被实现的现代建筑作品"为主题,重展当年的未实现之作。文章着眼于回顾这四个因历史原因为威尼斯而生,却终与其擦肩而过的作品,试图浅析其时代背景和未能实现的原因。
