With the use of coherent-state method,a quantum approach for the intrinsic phonon localized modes in an anharmonic monoatomic chain is given.It is shown that the envelope soliton with zero group velocity can exist in ...With the use of coherent-state method,a quantum approach for the intrinsic phonon localized modes in an anharmonic monoatomic chain is given.It is shown that the envelope soliton with zero group velocity can exist in the lattice and that the frequency of carrier wave is above the top of the frequency band.A new type of the intrinsic phonon localized mode which we call the soliton-pair intrinsic localized mode in the chain is also reported.展开更多
Two new model equations which we call a higher order cylindrical KdV equation and a higher order cylindrical KP equation are proposed when we consider the 2-dimensional modulation of water waves with surface tension i...Two new model equations which we call a higher order cylindrical KdV equation and a higher order cylindrical KP equation are proposed when we consider the 2-dimensional modulation of water waves with surface tension in cylindrical coordinate system.Some exact (2+1)-dimensional solitary wave solutions have been obtained by relating them to the higher order KdV equation through an appropriate variable transformation.展开更多
The method of multiple-scales is used to investigate the nonlinear modulation of capillary-gravity waves with cylindrical symmetry.We find that the evolution of wave-packets is described by a nonlinear schrödinge...The method of multiple-scales is used to investigate the nonlinear modulation of capillary-gravity waves with cylindrical symmetry.We find that the evolution of wave-packets is described by a nonlinear schrödinger-like equation i(U+U/2r)+αUξξ+β|U|2U=0.Some exact and explicit cylindrical envelope solitary wave solutions are also obtained by means of variable transformations.展开更多
Using the method of multiple scales and considering the nearly two-dimensional modulation of the waves when the dimensionless surfacecoeffi-cient T of fluid is close to 1/3 ,we proposed a new model equation which we c...Using the method of multiple scales and considering the nearly two-dimensional modulation of the waves when the dimensionless surfacecoeffi-cient T of fluid is close to 1/3 ,we proposed a new model equation which we call the higher-order KP equation for water wave dgnamics.The exact and explicit two dimensional solitary wave solutions are also given.展开更多
The effective temperature of the solar photosphere is usually obtained according to the solar constant, based on the Stefan-Boltzmann law. However its temperature distribution is not homogeneous. A hopeful way to obta...The effective temperature of the solar photosphere is usually obtained according to the solar constant, based on the Stefan-Boltzmann law. However its temperature distribution is not homogeneous. A hopeful way to obtain the area-temperature distribution of the solar photosphere is to solve the Black-body Radiation Inversion (BRI) problem. In this paper, a new practical solution method for BRI is developed. The theoretical analysis and numerical calculations show the low-temperature distribution difficulty of BRI is solved by this new method. Then the area-temperature distribution of the solar photosphere is obtained, according to the measured absolute solar spectral irradiance. It is the first realization of BRI for a real system after almost three decades of efforts. The results are comparable to that from the Stefan-Boltzmann law.展开更多
It is interesting to maximize the amount of information we can obtain from one experiment on a single sample.In obtaining all the thermodynamic properties of some materials from their experimental heat capacity data o...It is interesting to maximize the amount of information we can obtain from one experiment on a single sample.In obtaining all the thermodynamic properties of some materials from their experimental heat capacity data only,we aim to get the temperature-independent energy spectrum.However,all the practical measured energy spectra depend on the temperature of experiments.One promising method to obtain the temperature-independent energy spectrum is to solve the so-called specific heat-phonon spectrum inversion(SPI) problem.Here we show,by developing a new practical solution method of SPI,the phonon spectrum of the negative thermal expansion material ZrW 2 O 8 is obtained.This phonon spectrum is temperature-independent and almost method independent.Hence all the thermodynamic properties of ZrW 2 O 8,such as thermodynamic potential,entropy,Helmholtz free energy,etc.are obtained by heat capacity only.展开更多
基金Supported by the National Natural Science Foundation of China.
文摘With the use of coherent-state method,a quantum approach for the intrinsic phonon localized modes in an anharmonic monoatomic chain is given.It is shown that the envelope soliton with zero group velocity can exist in the lattice and that the frequency of carrier wave is above the top of the frequency band.A new type of the intrinsic phonon localized mode which we call the soliton-pair intrinsic localized mode in the chain is also reported.
基金Project supported by the National Science Foundation of China.
文摘Two new model equations which we call a higher order cylindrical KdV equation and a higher order cylindrical KP equation are proposed when we consider the 2-dimensional modulation of water waves with surface tension in cylindrical coordinate system.Some exact (2+1)-dimensional solitary wave solutions have been obtained by relating them to the higher order KdV equation through an appropriate variable transformation.
基金Supported by the National Natural Science Foundation of China and the Foundation of Doctoral Education of China。
文摘The method of multiple-scales is used to investigate the nonlinear modulation of capillary-gravity waves with cylindrical symmetry.We find that the evolution of wave-packets is described by a nonlinear schrödinger-like equation i(U+U/2r)+αUξξ+β|U|2U=0.Some exact and explicit cylindrical envelope solitary wave solutions are also obtained by means of variable transformations.
文摘Using the method of multiple scales and considering the nearly two-dimensional modulation of the waves when the dimensionless surfacecoeffi-cient T of fluid is close to 1/3 ,we proposed a new model equation which we call the higher-order KP equation for water wave dgnamics.The exact and explicit two dimensional solitary wave solutions are also given.
基金supported by the National Natural Science Foundation of China (Grand Nos. 10675031, 10375012 and 19975009)supported in part by the Department of Education of Zhejiang Province (Grant No. Y200906911)
文摘The effective temperature of the solar photosphere is usually obtained according to the solar constant, based on the Stefan-Boltzmann law. However its temperature distribution is not homogeneous. A hopeful way to obtain the area-temperature distribution of the solar photosphere is to solve the Black-body Radiation Inversion (BRI) problem. In this paper, a new practical solution method for BRI is developed. The theoretical analysis and numerical calculations show the low-temperature distribution difficulty of BRI is solved by this new method. Then the area-temperature distribution of the solar photosphere is obtained, according to the measured absolute solar spectral irradiance. It is the first realization of BRI for a real system after almost three decades of efforts. The results are comparable to that from the Stefan-Boltzmann law.
基金supported by the National Natural Science Foundation of China (Grant Nos. 10675031,10375012 and 19975009)the Department of Education of Zhejiang Province (Grant No. Y200906911)
文摘It is interesting to maximize the amount of information we can obtain from one experiment on a single sample.In obtaining all the thermodynamic properties of some materials from their experimental heat capacity data only,we aim to get the temperature-independent energy spectrum.However,all the practical measured energy spectra depend on the temperature of experiments.One promising method to obtain the temperature-independent energy spectrum is to solve the so-called specific heat-phonon spectrum inversion(SPI) problem.Here we show,by developing a new practical solution method of SPI,the phonon spectrum of the negative thermal expansion material ZrW 2 O 8 is obtained.This phonon spectrum is temperature-independent and almost method independent.Hence all the thermodynamic properties of ZrW 2 O 8,such as thermodynamic potential,entropy,Helmholtz free energy,etc.are obtained by heat capacity only.
