The singular manifold method is used to obtain two general solutions to a (2+1)-dimensional breaking soliton equation, each of which contains two arbitrary functions. Then the new periodic wave solutions in terms of t...The singular manifold method is used to obtain two general solutions to a (2+1)-dimensional breaking soliton equation, each of which contains two arbitrary functions. Then the new periodic wave solutions in terms of the Jacobi elliptic functions are generated from the general solutions. The long wave limit yields the new types of dromion and solitary structures.展开更多
By using a trial wave function,the exact wave function for a harmonic oscillator with time-dependent mass,frequency,damping and driving is obtained.And then by defining a unitary operator,coherent states for the syste...By using a trial wave function,the exact wave function for a harmonic oscillator with time-dependent mass,frequency,damping and driving is obtained.And then by defining a unitary operator,coherent states for the system of interest are found.These coherent states have most,but not all,of the properties the time independent oscillator.And all the results obtained can be reduced to the usual ones when both the mass and fre-quency are constants and the driving is absent.展开更多
文摘The singular manifold method is used to obtain two general solutions to a (2+1)-dimensional breaking soliton equation, each of which contains two arbitrary functions. Then the new periodic wave solutions in terms of the Jacobi elliptic functions are generated from the general solutions. The long wave limit yields the new types of dromion and solitary structures.
基金Spomsored by the National Natural Science Foundation(K19972011)
文摘By using a trial wave function,the exact wave function for a harmonic oscillator with time-dependent mass,frequency,damping and driving is obtained.And then by defining a unitary operator,coherent states for the system of interest are found.These coherent states have most,but not all,of the properties the time independent oscillator.And all the results obtained can be reduced to the usual ones when both the mass and fre-quency are constants and the driving is absent.
