1) multisolitary wave solution
多孤波解
1.
Six forms of multisolitary wave solutions are constructed when the cutting method of stan-dard Painlevéis used in nonlinear equation.
把标准Painlevé截断方法应用于非线性Broer-Kaup方程,构造了非线性Broer-Kaup方程6种形式的多孤波解,解1为一般的多孤波解熏解2熏3为新型的多孤波解熏解4熏5为新型的多周期解熏解6为复杂的新型的解。
2) MultiSolitary wave solutions
多重孤立波解
3) solitary wave solutions
孤立波解
1.
Periodic wave solutions and solitary wave solutions to (2+1)-dimensional KdV equation;
(2+1)维KdV方程的周期波解和孤立波解
2.
Exact solitary wave solutions of the coupled K d V equations;
一个耦合KdV方程组的精确孤立波解
3.
New solitary wave solutions for (n+1) dimensional Klein-Gordon-Schrdinger equations;
(n+1)维Klein-Gordon-Schrdinger方程组新的孤立波解
4) solitary wave solution
孤波解
1.
Conditional stability of the solitary wave solutions for the generalized compound KdV equation and generalized compound KdV-Burgers equation;
广义组合KdV方程与广义组合KdV-Burgers方程孤波解的条件稳定性
2.
A new solitary wave solution to fisher equation;
Fisher方程的新孤波解
3.
The new solitary wave solutions to KdV-Burgers equation;
KdV-Burgers方程的新的孤波解
5) solitary wave-like solution
类孤波解
1.
New solitary wave-like solution and analytic solution of generalized KdV equation with variable coefficients;
变系数广义KdV方程新的类孤波解和解析解
2.
New solitary wave-like solution and exact solution of variable coefficient KP equation;
变系数KP方程新的类孤波解和解析解
3.
These solutions degenerate to solitary wave-like solutions at a certain limit.
将Jacobi椭圆正弦函数展开法与Jacobi椭圆余弦函数展开法引入到变系数KdV方程组的求解中,得到了三组类周期波解· 这些解析解在一定条件下退化为类孤波解·
6) Solitary wave solution
孤立波解
1.
Compacton solution and solitary wave solution for a class of nonlinear intensity Boussinesq equation;
一类非线性强度Boussinesq方程的Compacton解和孤立波解
2.
Exact solitary wave solutions for the Gross-Piteavskii equation with time-dependent linear potential;
含时线性势Gross-Piteavskii方程的孤立波解
3.
The solitary wave solutions with varying velocity for the (3+1)-dimensional variable-coefficients ZK equation;
变系数(3+1)维ZK方程的变速孤立波解
补充资料:遮波致波[多罗那他《七系付法传》]
【遮波致波[多罗那他《七系付法传》]】
时瞻波拏处牧人甚多,其中有一牧人极为富有,水牛、牦牛、牯牛及马羊等皆有数千,彼为子娶媳,媳生一子,一时其地有大节会,媳与幼子皆住其处,众人散后,得成就者遮波致波始为乞食而来,媳以一切食物奉施,阿阇黎言:“若汝家人不起嗔者,随汝意乐,明晨可多施我食。若起嗔者,我于林中生火而住,可遁来我前。”其后媳家诸人,见食器中有残余食物,乃共撘击,媳遂抱幼子而逃,至阿阇黎前,阿阇黎以丹药洒之,母子二人皆证持明之身,尔时众人寻迹追来,阿阇黎复以丹药洒之,约三百人亦皆证得持明之身,得大义利。尔时瞻波国王闻悉此事,遂于多人同来阿阇黎前,国王作礼时,阿阇黎伪作怒状,投食器于地,即时地下有龙女出,以众多资具奉献于王,王知阿阇黎为得成就者,故于岩窟之中,建二佛堂,其一塑有阿阇黎及母子三像,另有则塑余三百人,其幼童像亦能赐予众多悉地,眼中出眼药,耳中出药丸,口中出宝剑,鼻中出捷足药,金刚中出化金药,下门中出诸丹药,此三像在一座上,乃至弥勒出世恒利众生,其地亦名瞻波遮波致,今日若祈请者仍可速得悉地也。彼之弟子为得成就者迦俱致波,
时瞻波拏处牧人甚多,其中有一牧人极为富有,水牛、牦牛、牯牛及马羊等皆有数千,彼为子娶媳,媳生一子,一时其地有大节会,媳与幼子皆住其处,众人散后,得成就者遮波致波始为乞食而来,媳以一切食物奉施,阿阇黎言:“若汝家人不起嗔者,随汝意乐,明晨可多施我食。若起嗔者,我于林中生火而住,可遁来我前。”其后媳家诸人,见食器中有残余食物,乃共撘击,媳遂抱幼子而逃,至阿阇黎前,阿阇黎以丹药洒之,母子二人皆证持明之身,尔时众人寻迹追来,阿阇黎复以丹药洒之,约三百人亦皆证得持明之身,得大义利。尔时瞻波国王闻悉此事,遂于多人同来阿阇黎前,国王作礼时,阿阇黎伪作怒状,投食器于地,即时地下有龙女出,以众多资具奉献于王,王知阿阇黎为得成就者,故于岩窟之中,建二佛堂,其一塑有阿阇黎及母子三像,另有则塑余三百人,其幼童像亦能赐予众多悉地,眼中出眼药,耳中出药丸,口中出宝剑,鼻中出捷足药,金刚中出化金药,下门中出诸丹药,此三像在一座上,乃至弥勒出世恒利众生,其地亦名瞻波遮波致,今日若祈请者仍可速得悉地也。彼之弟子为得成就者迦俱致波,
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参考词条