(2+1)維廣義Nizhnik-Novikov-Veselov方程的幾種類型新解及其相互作用
發(fā)布時(shí)間：2021-05-27 13:33
通過(guò)函數(shù)變換和符號(hào)計(jì)算系統(tǒng)Mathematica,獲得了（2+1）維廣義Nizhnik-Novikov-Veselov（N-N-V）方程的幾種新結(jié)論。步驟1:給出函數(shù)變換,將（2+1）維廣義N-N-V方程的求解問(wèn)題轉(zhuǎn)化為幾個(gè)常微分方程和非線性代數(shù)方程組的求解問(wèn)題。步驟2:借助符號(hào)計(jì)算系統(tǒng)Mathematica,求出非線性代數(shù)方程組的幾組解。步驟3:在此基礎(chǔ)上,構(gòu)造（2+1）維廣義N-N-V方程的三個(gè)任意函數(shù)組成的分離變量解和兩個(gè)任意函數(shù)與常微分方程的解組成的分離變量解。步驟4:用符號(hào)計(jì)算系統(tǒng)Mathematica,分析解的相互作用。
【文章來(lái)源】：內(nèi)蒙古大學(xué)學(xué)報(bào)(自然科學(xué)版). 2020,51(06)北大核心
【文章頁(yè)數(shù)】：8 頁(yè)
【文章目錄】：
1 方法與分離變量解
1.1 方法
1.2 分離變量解
1.3 解及其相互作用
2 結(jié)論
【參考文獻(xiàn)】：
期刊論文
[1]Camassa-Holm-r方程的無(wú)窮序列類孤子新解[J]. 套格圖桑,伊麗娜. 物理學(xué)報(bào). 2014(12)
[2]Exact solutions for nonlinear partial fractional differential equations[J]. Khaled A.Gepreel,Saleh Omran. Chinese Physics B. 2012(11)
[3]非線性發(fā)展方程的Riemann theta函數(shù)等幾種新解[J]. 套格圖桑,白玉梅. 物理學(xué)報(bào). 2013(10)
[4]具有色散系數(shù)的（2+1）維非線性Schrdinger方程的有理解和空間孤子[J]. 馬正義,馬松華,楊毅. 物理學(xué)報(bào). 2012(19)
[5]修正的Korteweg de Vries-正弦Gordon方程的Riemannθ函數(shù)解[J]. 王軍民. 物理學(xué)報(bào). 2012(08)
[6]Infinite Sequence Soliton-Like Exact Solutions of （2 + 1）-Dimensional Breaking Soliton Equation[J]. Taogetusang,Sirendaoerji,李姝敏. Communications in Theoretical Physics. 2011(06)
[7]Using Symbolic Computation to Exactly Solve the Integrable Broer-Kaup Equations in （2+1）-Dimensional Spaces[J]. XIE Fu-Ding;CHEN Jing;LU Zhuo-Sheng Department of Computer Science, Liaoning Normal University, Dalian 116029, China Key Laboratory of Mathematics Mechanization, Institute of Systems Sciences, Academy of Mathematics and Systems Sciences, thc Chinese Academy of Sciences, Beijing 100080, China. Communications in Theoretical Physics. 2005(04)
[8]New Multiple Soliton-like Solutions to（3+1）-Dimensional Burgers Equation with Variable Coefficients[J]. CHEN Huai-Tang~(1,2) ZHANG Hong-Qing~2 1 Department of Applied Mathematics,Dalian University of Technology,Dalian 116024,China 2 Department of Mathematics,Linyi Teachers University,Linyi 276005,China. Communications in Theoretical Physics. 2004(10)
本文編號(hào)：3207662
【文章來(lái)源】：內(nèi)蒙古大學(xué)學(xué)報(bào)(自然科學(xué)版). 2020,51(06)北大核心
【文章頁(yè)數(shù)】：8 頁(yè)
【文章目錄】：
1 方法與分離變量解
1.1 方法
1.2 分離變量解
1.3 解及其相互作用
2 結(jié)論
【參考文獻(xiàn)】：
期刊論文
[1]Camassa-Holm-r方程的無(wú)窮序列類孤子新解[J]. 套格圖桑,伊麗娜. 物理學(xué)報(bào). 2014(12)
[2]Exact solutions for nonlinear partial fractional differential equations[J]. Khaled A.Gepreel,Saleh Omran. Chinese Physics B. 2012(11)
[3]非線性發(fā)展方程的Riemann theta函數(shù)等幾種新解[J]. 套格圖桑,白玉梅. 物理學(xué)報(bào). 2013(10)
[4]具有色散系數(shù)的（2+1）維非線性Schrdinger方程的有理解和空間孤子[J]. 馬正義,馬松華,楊毅. 物理學(xué)報(bào). 2012(19)
[5]修正的Korteweg de Vries-正弦Gordon方程的Riemannθ函數(shù)解[J]. 王軍民. 物理學(xué)報(bào). 2012(08)
[6]Infinite Sequence Soliton-Like Exact Solutions of （2 + 1）-Dimensional Breaking Soliton Equation[J]. Taogetusang,Sirendaoerji,李姝敏. Communications in Theoretical Physics. 2011(06)
[7]Using Symbolic Computation to Exactly Solve the Integrable Broer-Kaup Equations in （2+1）-Dimensional Spaces[J]. XIE Fu-Ding;CHEN Jing;LU Zhuo-Sheng Department of Computer Science, Liaoning Normal University, Dalian 116029, China Key Laboratory of Mathematics Mechanization, Institute of Systems Sciences, Academy of Mathematics and Systems Sciences, thc Chinese Academy of Sciences, Beijing 100080, China. Communications in Theoretical Physics. 2005(04)
[8]New Multiple Soliton-like Solutions to（3+1）-Dimensional Burgers Equation with Variable Coefficients[J]. CHEN Huai-Tang~(1,2) ZHANG Hong-Qing~2 1 Department of Applied Mathematics,Dalian University of Technology,Dalian 116024,China 2 Department of Mathematics,Linyi Teachers University,Linyi 276005,China. Communications in Theoretical Physics. 2004(10)
本文編號(hào)：3207662
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