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1)  new auxiliary equation
新辅助方程
1.
Based on the homogeneous banlance method,tanh-function method and auxiliary equation method,new types of exact solitary wave solutions of the(2+1)-dimensional breaking soliton equation are constructed by using a new auxiliary equation.
在齐次平衡法、双曲正切函数法和辅助方程法的基础上引入新辅助方程构造了(2+1)维破裂孤子方程的新的精确孤立波解。
2.
Based on tanh_function method, homogeneous balance method and auxiliary equation, a new auxiliary equation was introduced in the paper, meanwhile, a new invariance solution was obtained, and a new exact solitary wave solution for Benjamin_Bona_Mahoney(BBM) equation and modified BBM equation was constructed using the symbolic calculation system of Mathematica.
在双曲正切函数法、齐次平衡法、辅助方程法的基础上引入非线性发展方程的一个新形式解和新辅助方程,并利用符号计算系统Mathematica构造了Benjamin-Bona-Mahoney(BBM)方程和修正的BBM方程的新精确孤立波解。
3.
New exact solitary wave solutions of the sine-Gordon,double sine-Gordon,sinh-Gordon and Other third order equations are constructed by using a new auxiliary equation and functional transformations.
新辅助方程和函数变换,构造了sine Gordon方程、双sine Gordon方程、sinh Gordon方程和Otherthirdorder方程的新的精确孤立波解。
2)  new auxiliary equation
新的辅助方程
1.
Based on the homogeneous balance method,the tanh-function method and the auxiliary equation method and with the aid of computer algebraic system“Mathematica”,new types of exact solitary wave solutions of the 2+1D dispersive long-wave equations and combined KdV-Burgers equa- tion are constructed by using a new auxiliary equation.
本文在齐次平衡法、双曲正切函数法和辅助方程法的基础上引入一类新的辅助方程,并借助符号计算系统Mathematica来构造了(2+1)维色散长波方程组和组合KdV-Burgers方程的新的精确孤立波解。
2.
On the basis of homogeneous balance method, tanh-function method and auxiliary equation method, new types of exact solitary wave solutions of the dispersive long-wave equation and Benjamin equation are constructed by using a new auxiliary equation and with the aid of computer algebraic system Mathematica in this paper.
在齐次平衡法、双曲正切函数法和辅助方程法的基础上引入一个新的辅助方程,并借助符号计算系统Mathematica来构造了非线性长波方程组和Benjamin方程的新精确孤波解,这种方法也可用于寻找其他非线性发展方程的新的孤波解。
3.
In this paper,new types of exact solitary wave solutions of the KdV equation and KP equation were constructed by using a new auxiliary equation.
用新的辅助方程构造了KdV方程和K-P方程的新的精确孤立波解。
3)  auxiliary equation
辅助方程
1.
The auxiliary equation for constructing the exact solutions of the variable coefficient combined KdV equation with forcible term;
辅助方程构造带强迫项变系数组合KdV方程的精确解
2.
The auxiliary equation for constructing the exact solutions of coupled KdV equations
辅助方程构造耦合KdV方程组的精确解
3.
Global asymptotic stability of a class of nonlinear rational difference equations was studied by means of setting up an auxiliary equation,so that a sufficient condition was obtained.
运用建立辅助方程的方法研究一类非线性有理差分方程正平衡点的全局渐近稳定性,得到一个充分条件。
4)  auxiliary equation method
辅助方程
1.
In this paper,we make use of extended mapping method and auxiliary equation method for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics,we obtain some new periodic wave solutions for Klein-Gordon equation which can not be found by previous work.
运用映射法,结合辅助方程,利用计算机代数系统Mathematica求出了非线性Klein-Gordon方程的一系列新的精确周期解,补充了前面研究的结果。
2.
In this paper,we make use of extended mapping method and auxiliary equation method for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics,we obtain some new periodic wave solutions for mKdV and Klein-Gordon equation which can not be found by previous work.
本文运用映射法,结合辅助方程,利用计算机代数系统Mathematica求出了典型的非线性mKdV方程和Klein-Gordon方程的一系列新的精确周期解。
3.
In this work,2D cubic-quintic Ginzburg-Landau equation with diffractive-diffusive terms and normal dispersion is considered,some new exact traveling wave solution are obtained successfully by using identical reforming of differential equation method combine with a new auxiliary equation method.
利用同解变型法并结合一个高阶辅助方程的解,成功地取得了该方程的一些新的精确行波解。
5)  auxiliary equation method
辅助方程法
1.
The history and current situation of the auxiliary equation method to search for exact solutions of nonlinear evolution equations by symbolic computing systems are summarized.
综述了基于符号计算寻找非线性发展方程(组)精确解的辅助方程法研究的历史和现状。
2.
According to the characteristics of this equation,using the auxiliary equation method,an auxiliary nonlinearly ordinary equation with high term is constructed.
根据这个广义Boussineq方程的特点,利用辅助方程法构造了一个非线性高次常微分辅助方程,再通过映射的方法,由辅助方程的解获得了广义Boussineq方程的各种精确解的解析表达式。
3.
In this paper,with the help of the software Mathematica,many new exact solutions of generalized fifth-order KdV equation are obtained by using auxiliary equation method.
本文运用辅助方程法,借助Mathematica软件,获得了一类广义五阶KdV方程的19个精确解,其中有17个是新得到的,这些解包括光滑孤立波解,爆破解,周期爆破解。
6)  auxiliary equations
辅助方程组
补充资料:舰艇辅助装置和辅助机械
      舰艇上用于保证舰艇操纵、损害管制和舰员生活的辅助性装置和机械的统称。一般战斗舰艇的辅助装置和辅助机械有:
  
  操舵装置  亦称舵机装置。用于保持和改变舰艇航向;潜艇升降舵用于保持和改变潜艇深度。它包括操纵机构、原动机、传动机构和舵。操纵机构有人工操纵和自动控制两种。舵机的原动机一般为两套电动机,安装在舵机舱内。传动机构有机械传动和液压传动两种。
  
  锚机和绞盘机  用于起、抛锚和系缆的机械。一般安装在前、后甲板上。原动机一般为电动机,传动机构有机械传动和液压传动两种。
  
  空气压缩机  用于为操作系统、自动控制系统、发射系统及起动柴油机等提供压缩空气。主要有电动往复式和自由活塞式内燃压缩机。
  
  减摇装置  用以减少舰艇横向摇摆,提高武器的命中率,改善舰员工作和生活条件。由检测、放大、液压传动和减摇鳍四部分组成。可使舰艇在航行中的横摇角稳定在6度以内。
  
  造水装置  亦称制淡装置。用于将海水提制成合乎要求的淡水,以保证锅炉蒸馏水、舰员饮用水、机械冷却水等的供应。多数为蒸发式,也有电渗析式。蒸发式造水装置以蒸汽、废热或电力为热源。以蒸汽为热源的造水量大,装备在蒸汽轮机动力的水面舰艇和核动力潜艇上;以废热或电力为热源的造水量小,一般装备在柴油机动力的舰艇上。
  
  冷藏和空调装置  用于冷藏食物和调节舱室内的温度、湿度,以保证舰员生活和电子设备、精密仪器正常工作。其主要部分是制冷装置,多数为压缩制冷,也有吸收式制冷或半导体制冷。
  
  辅助锅炉  用以为暖机和舰员生活提供蒸汽,有的还可向汽轮发电机供汽,以保证停泊用电。分为水管式和火管式,新型的多为水管式,且已发展为自动控制。有的辅助锅炉利用主机废气的余热产生蒸汽,亦称废气锅炉。
  
  泵  按用途区分,有消防泵、排水泵、平衡泵、输油泵、卫生泵等。按工作原理区分,有叶片泵(离心泵、轴流泵等)、容变式泵(齿轮泵、螺杆泵、往复泵等)、喷射泵等。一般都是固定式的,有的小型消防泵和排水泵是移动式的。其原动机多数为电动机,少数为蒸汽轮机、汽油机或燃气轮机。
  
  通风机  用以保证舱室内的空气新鲜和保持适当温度。多数为离心式,其原动机一般为电动机。有的通风机与通风管组成通风系统。
  

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