1) scalar field equation
标量场方程
1.
The solving problem for rotational field equation transforming a scalar field equation is given, and then a new method for solving dyadic Green s function of electromagnetic wave field is given.
讨论了电磁场矢量E 和B 的Helmholtz定理的合理形式 ,提出了将旋量场方程化为一个标量场方程求解的问题 ,然后给出了求解电磁波场并矢格林函数的新方法 。
2) Generalized nonlinear coupled scalar field equations
广义耦合标量场方程组
4) nonlinear coupled scalar field equation
非线性耦合标量场方程
1.
Considered the nonlinear coupled scalar field equation,reduced it to nonlinear ordinary differential equation with elementary integral form.
对于具有丰富物理意义和众多应用价值的非线性耦合标量场方程,通过将所求方程约化为初等积分形式,再利用多项完全判别系统对被积函数中的多项式的根进行分类,得到该方程的丰富的精确解,其中包含有理函数型解,孤波解,三角函数型周期解,椭圆函数型周期解,这其中有许多是新解。
2.
In this paper, the Jacobi elliptic function method is generalized to study nonlinear coupled scalar field equation, and a lot of new analytic solutions of nonlinear coupled scalar field equation are obtained.
推广了Jacobi椭圆函数展开方法,研究了非线性耦合标量场方程组的求解问题,得到了更多更新的非线性耦合标量场方程组的解释解。
3.
By using two different transformations, several types of exact analytic solutions for a class of nonlinear coupled scalar field equation are obtained, which contain soliton solutions, singular solitary wave solutions and triangle function solutions.
利用两种不同的变换 ,获得了一类非线性耦合标量场方程的若干类型的精确解析解 ,其中包括孤子解、奇性孤波解和三角函数解 ,从而丰富了方程解的内容· 这些结论可以应用于其它的非线性方程· 此外还纠正了一些文献的部分结论
5) scalar equation
标量方程
6) the scalar field mechanical approach
标量场方法
1.
By using the scalar field mechanical approach and quantum self consistent approximation to the sine Gordon equation based on the Jordan Wigner transformation and bosonization techniques,we studied the effect of the dimerization on the excitation energy gap and specific heat at low temperatures.
Jordan Wigner变换和玻色化技术的基础上对sineGordon方程使用标量场方法和量子自恰近似 ,我们研究了在低温下时二聚化对激发谱中的能隙和比热的影响 。
补充资料：标量场
标量场
scalar field
标最场「，习肠r五e”;c~p“oe no‘」 某空间中一个区域上点的标量值函数，例如一个物体内的温度场或密度场.【补注】标量场是张量场代数中的标量.见标t(sca-1ar).王斯雷译
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条