Chinese translation for "jacobi elliptic function"
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- 雅可比椭圆函数
Related Translations:
- Example Sentences:
| 1. | The new jacobi elliptic function expansion method by the long - short wave interaction equation
椭圆函数新的展开法求解 | | 2. | Exact periodic solutions with jacobi elliptic functions fractional form to generalized modified boussinesq equation
方程椭圆函数分式形式的精确周期解 | | 3. | By using the modified mapping method and the extended mapping method , we derive some new exact solutions of the higher order nonlinear schr ? dinger equation , which are the linear combination of two different jacobi elliptic functions
摘要通过修正的映射方法和推广的映射方法，我们得到了高阶非线性薛定谔方程新的精确解，它们是两个不同的雅可比椭圆函数的线性组合。 | | 4. | ( 2 ) by the jacobi elliptic function expansion method and computer symbolic systems ( maple , matlab ) , many exact periodic solutions of nonlinear wave equations can be obtained and these solutions can degenerate solitary wave solutions , shock wave solutions , trigonometric function solutions
( 2 )利用jacobi椭圆函数表示法和数学计算软件( maple ， matlab等) ，可以得到一类常系数非线性发展方程的双周期解，这些解能退化成孤立子解，冲击波解，三角函数解。 | | 5. | In the part of discussion , the suitability of the jacobi elliptic function expansion method is also studied by proposing the " rank " . and we firstly point out that when the " ranks " of every term of the nonlinear evolution equation are simultaneously even or odd , the method can be used to solve the equation
为了讨论了jacobi椭圆函数展开法的适用性问题，我们最先引进“秩”的概念，指出只要非线性发展方程的各项的“秩”满足相同的奇偶性，就可以用这种展开法求解。 | | 6. | Chapter5 : the recently developed method of hyperbolic tangent function expansion is extended and new function transformation is applied to construct some new solitary solutions of kdv equation and klein - gordon equation and the jacobi elliptic function expansion method , which is advanced in 2001 , and the extended method of doubly jacobi function expansion are used to construct the exact solutions of a kind of nonlinear evolution equations
第五章对近年来发展起来的双曲正切函数展开法加以改进，采用新的变换函数，得到了kdv方程和非线性klein - gordon方程的一些新的孤立波解。其次，分别采用2001年提出的jacobi椭圆函数展开法和本文由此扩展而来的双椭圆函数展开法，求解了一大类非线性发展方程，得到了一系列新的周期解。 | | 7. | We improve this method as follows : ( 1 ) single jacobi elliptic function is replaced with an unified jacobi elliptic equation , thus repeated calculation is avoided ; ( 2 ) extending the expansion method from sole - function to double - function form , the more solutions for npde are obtainted ; ( 3 ) using many of jacobi elliptic functions besides ordinary three kinds , the content of solutions represented by jacobi elliptic by the jacobi elliptic function expansion method and computer functions is very abundant
我们对此方法做了如下几点改进：用统一的jacobi椭圆方程组代替单个的jacobi椭圆函数，避免重复计算；将jacobi椭圆单函数展开方法推广到jacobi椭圆双函数展开，这样可以得到更多的解；将通常使用的三个jacobi椭圆函数推广到多个jacobi椭圆函数，丰富了用jacobi椭圆函数表示的解的内容。利用改进的jacobi椭圆函数展开法，求解了bbm方程和boussinesq方程组。 | | 8. | ( 2 ) by the jacobi elliptic function expansion method and computer symbolic systems ( maple , matlab or mathematica ) , many exact periodic solutions of nonlinear wave equations can be obtained and under some conditions , these solutions degenerate solitary wave solutions , shock wave solutions , trigonometric function solutions respectively
( 2 )利用jacobi椭圆函数展开法和数学计算软件( maple ， matlab ， mathematica等) ，可以求得一类常系数非线性发展方程的双周期解，这些解能退化成孤立子解、冲击波解、三角函数解。 |
- Similar Words：
- "jacobi canonical form" Chinese translation, "jacobi condition" Chinese translation, "jacobi criterion" Chinese translation, "jacobi differential equation" Chinese translation, "jacobi ellipsoid" Chinese translation, "jacobi equation" Chinese translation, "jacobi identity" Chinese translation, "jacobi indentity" Chinese translation, "jacobi matrix" Chinese translation, "jacobi matrix method" Chinese translation
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