New Exact Solutions for （2＋1）-Dimensional Breaking Soliton Equation 被引量：6

New Exact Solutions for (2+1)-Dimensional Breaking Soliton Equation

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摘要 New exact solutions in terms of the Jacobi elliptic functions are obtained to the (2+1)-dimensional breakingsoliton equation by means of the modified mapping method. Limit cases are studied, and new solitary wave solutionsand triangular periodic wave solutions are obtained.

作者 PENGYan-Ze

机构地区 DepartmentofMathematics

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第2期205-207,共3页 理论物理通讯（英文版）

基金中国博士后科学基金

关键词 exact solutions (2+1)-dimensional breaking soliton equation modifiedmapping method 精确解孤波断裂方程修正映射法雅可比偏微分方程非线性

分类号 O441.4 [理学—电磁学] O175.29

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参考文献10

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同被引文献25

1YAN Zhen-Ya.New Jacobian Elliptic Function Solutions to Modified KdV Equation: Ⅰ[J].Communications in Theoretical Physics,2002(8):143-146. 被引量：9
2ZHANGJie-Fang:,MENGJian-Ping,HUANGWen-Hua.A New Class of （2＋1）-Dimensional Localized Coherent Structures with CompletelyElastic and Non-elastic Interactive Properties[J].Communications in Theoretical Physics,2004,42(2X):161-170. 被引量：3
3套格图桑,斯仁道尔吉.Burgers方程、组合KdV-mKdV方程和Fisher方程的孤立波解[J].内蒙古大学学报（自然科学版）,2005,36(1):4-9. 被引量：3
4套格图桑,斯仁道尔吉.BBM方程和修正的BBM方程新的精确孤立波解[J].物理学报,2004,53(12):4052-4060. 被引量：32
5李画眉.New exact solutions of nonlinear Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields[J].Chinese Physics B,2005,14(2):251-256. 被引量：19
6陈金兰,李向正,王跃明.组合KdV方程的精确解[J].兰州理工大学学报,2005,31(3):140-142. 被引量：8
7PENG Yan-Ze,E.V. Krishnan.Two Classes of New Exact Solutions to （2＋1）-Dimensional Breaking Soliton Equation[J].Communications in Theoretical Physics,2005,44(5X):807-809. 被引量：2
8何宝钢,徐昌智,张解放.扩展的形变映射方法和(2+1)维破裂孤子方程的新解[J].物理学报,2006,55(2):511-516. 被引量：20
9龚伦训.非线性薛定谔方程的Jacobi椭圆函数解[J].物理学报,2006,55(9):4414-4419. 被引量：9
10潘军廷,龚伦训.组合KdV-mKdV方程的Jacobi椭圆函数解[J].物理学报,2007,56(10):5585-5590. 被引量：27

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1龚伦训.修正的BBM方程的一些新的精确解[J].原子与分子物理学报,2006,23(4):725-728. 被引量：7
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3吕岿.利用修正影射法求组合KdV方程新的精确解[J].上饶师范学院学报,2011,31(3):42-45.
4Abdulghani Ragaa Alharbi.A Study of Traveling Wave Structures and Numerical Investigation of Two-Dimensional Riemann Problems with Their Stability and Accuracy[J].Computer Modeling in Engineering & Sciences,2023(3):2193-2209.
5陈兆蕙,唐跃龙.一类时空分数阶爆破孤立子方程组的新解法[J].科技通报,2024,40(8):13-21.
6Maha S. M. Shehata.The exp<span style="font-family:Symbol;font-size:11pt;">(-j(x))</span>Method and Its Applications for Solving Some Nonlinear Evolution Equations in Mathematical Physics[J].American Journal of Computational Mathematics,2015,5(4):468-480. 被引量：2

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8崔中飞,傅仰耿.广义Burgers-BBM方程波前解的持续性[J].重庆工商大学学报（自然科学版）,2015,32(11):6-12.
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3吴建平.A Bilinear Backlund Transformation and Explicit Solutions for a （3＋1）-Dimensional Soliton Equation[J].Chinese Physics Letters,2008,25(12):4192-4194. 被引量：5
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New Exact Solutions for （2＋1）-Dimensional Breaking Soliton Equation 被引量：6

参考文献10

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