The Experts below are selected from a list of 324 Experts worldwide ranked by ideXlab platform
Xiaoling Gai - One of the best experts on this subject based on the ideXlab platform.
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Gauge Transformation elastic and inelastic interactions for the whitham broer kaup shallow water model
Communications in Nonlinear Science and Numerical Simulation, 2012Co-Authors: Lei Wang, Yitian Gao, Xiaoling GaiAbstract:Abstract Whitham–Broer–Kaup (WBK) model is a model for the dispersive long wave in shallow water. With symbolic computation, Gauge Transformation between the WBK model and a parameter Ablowitz–Kaup–Newell–Segur (AKNS) system is hereby constructed. By selecting seeds, we derive two sorts of multi-soliton solutions for the WBK model via a N -fold Darboux Transformation (DT) of the parameter AKNS system, which are expressed in terms of the Vandermonde-like and double Wronskian determinants, respectively. Different from the bilinear way, the double Wronskian solutions can be obtained via the N -fold DT with a linear algebraic system and matrix differential equation solved. A novel inelastic interaction is graphically discussed, in which the soliton complexes are formed after the collision. Our results could be helpful for interpreting certain shallow-water-wave phenomena.
Yitian Gao - One of the best experts on this subject based on the ideXlab platform.
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Gauge Transformation elastic and inelastic interactions for the whitham broer kaup shallow water model
Communications in Nonlinear Science and Numerical Simulation, 2012Co-Authors: Lei Wang, Yitian Gao, Xiaoling GaiAbstract:Abstract Whitham–Broer–Kaup (WBK) model is a model for the dispersive long wave in shallow water. With symbolic computation, Gauge Transformation between the WBK model and a parameter Ablowitz–Kaup–Newell–Segur (AKNS) system is hereby constructed. By selecting seeds, we derive two sorts of multi-soliton solutions for the WBK model via a N -fold Darboux Transformation (DT) of the parameter AKNS system, which are expressed in terms of the Vandermonde-like and double Wronskian determinants, respectively. Different from the bilinear way, the double Wronskian solutions can be obtained via the N -fold DT with a linear algebraic system and matrix differential equation solved. A novel inelastic interaction is graphically discussed, in which the soliton complexes are formed after the collision. Our results could be helpful for interpreting certain shallow-water-wave phenomena.
Yuko Urakawa - One of the best experts on this subject based on the ideXlab platform.
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Large Gauge Transformation, Soft theorem, and Infrared divergence in inflationary spacetime
Journal of High Energy Physics, 2017Co-Authors: Takahiro Tanaka, Yuko UrakawaAbstract:It is widely known that the primordial curvature perturbation $\zeta$ has several universal properties in the infrared (IR) such as the soft theorem, which is also known as the consistency relation, and the conservation in time. They are valid in rather general single clock models of inflation. It has been argued that these universal properties are deeply related to the large Gauge Transformations in inflationary spacetime. However, the invariance under the large Gauge Transformations is not sufficient to show these IR properties. In this paper, we show that the locality condition is crucial to show the consistency relation and the conservation of $\zeta$. This argument also can apply to an interacting system with the inflaton and heavy fields which have arbitrary integer spins, including higher spin fields, which may be motivated from string theory. We will also show that the locality condition guarantees the cancellation of the IR divergences in a certain class of variables whose correlation functions resemble cosmologically observable quantities.
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large Gauge Transformation soft theorem and infrared divergence in inflationary spacetime
Journal of High Energy Physics, 2017Co-Authors: Takahiro Tanaka, Yuko UrakawaAbstract:It is widely known that the primordial curvature perturbation ζ has several universal properties in the infrared (IR) such as the soft theorem, which is also known as the consistency relation, and the conservation in time. They are valid in rather general single clock models of inflation. It has been argued that these universal properties are deeply related to the large Gauge Transformations in inflationary spacetime. However, the invariance under the large Gauge Transformations is not sufficient to show these IR properties. In this paper, we show that the locality condition is crucial to show the consistency relation and the conservation of ζ. This argument also can apply to an interacting system with the inflaton and heavy fields which have arbitrary integer spins, including higher spin fields, which may be motivated from string theory. We will also show that the locality condition guarantees the cancellation of the IR divergences in a certain class of variables whose correlation functions resemble cosmologically observable quantities.
Lei Wang - One of the best experts on this subject based on the ideXlab platform.
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Gauge Transformation elastic and inelastic interactions for the whitham broer kaup shallow water model
Communications in Nonlinear Science and Numerical Simulation, 2012Co-Authors: Lei Wang, Yitian Gao, Xiaoling GaiAbstract:Abstract Whitham–Broer–Kaup (WBK) model is a model for the dispersive long wave in shallow water. With symbolic computation, Gauge Transformation between the WBK model and a parameter Ablowitz–Kaup–Newell–Segur (AKNS) system is hereby constructed. By selecting seeds, we derive two sorts of multi-soliton solutions for the WBK model via a N -fold Darboux Transformation (DT) of the parameter AKNS system, which are expressed in terms of the Vandermonde-like and double Wronskian determinants, respectively. Different from the bilinear way, the double Wronskian solutions can be obtained via the N -fold DT with a linear algebraic system and matrix differential equation solved. A novel inelastic interaction is graphically discussed, in which the soliton complexes are formed after the collision. Our results could be helpful for interpreting certain shallow-water-wave phenomena.
Takahiro Tanaka - One of the best experts on this subject based on the ideXlab platform.
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Large Gauge Transformation, Soft theorem, and Infrared divergence in inflationary spacetime
Journal of High Energy Physics, 2017Co-Authors: Takahiro Tanaka, Yuko UrakawaAbstract:It is widely known that the primordial curvature perturbation $\zeta$ has several universal properties in the infrared (IR) such as the soft theorem, which is also known as the consistency relation, and the conservation in time. They are valid in rather general single clock models of inflation. It has been argued that these universal properties are deeply related to the large Gauge Transformations in inflationary spacetime. However, the invariance under the large Gauge Transformations is not sufficient to show these IR properties. In this paper, we show that the locality condition is crucial to show the consistency relation and the conservation of $\zeta$. This argument also can apply to an interacting system with the inflaton and heavy fields which have arbitrary integer spins, including higher spin fields, which may be motivated from string theory. We will also show that the locality condition guarantees the cancellation of the IR divergences in a certain class of variables whose correlation functions resemble cosmologically observable quantities.
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large Gauge Transformation soft theorem and infrared divergence in inflationary spacetime
Journal of High Energy Physics, 2017Co-Authors: Takahiro Tanaka, Yuko UrakawaAbstract:It is widely known that the primordial curvature perturbation ζ has several universal properties in the infrared (IR) such as the soft theorem, which is also known as the consistency relation, and the conservation in time. They are valid in rather general single clock models of inflation. It has been argued that these universal properties are deeply related to the large Gauge Transformations in inflationary spacetime. However, the invariance under the large Gauge Transformations is not sufficient to show these IR properties. In this paper, we show that the locality condition is crucial to show the consistency relation and the conservation of ζ. This argument also can apply to an interacting system with the inflaton and heavy fields which have arbitrary integer spins, including higher spin fields, which may be motivated from string theory. We will also show that the locality condition guarantees the cancellation of the IR divergences in a certain class of variables whose correlation functions resemble cosmologically observable quantities.