Darboux Transformation and Exact Solutions of the Myrzakulov-I Equation
Darboux Transformation and Exact Solutions of the Myrzakulov-I Equation
摘要
The Myrzakulov-I equation is a 2＋1-dimensional generalization of the Heisenberg ferromagnetic equation and has a non-isospectral Lax pair. The Darboux transformation with non-constant spectral parameter is constructed and an extra constraint on the spectral parameter for the existence of the Darboux transformation is derived. Explicit expressions of the solutions of the Myrzakulov-I equation are presented.
The Myrzakulov-I equation is a 2＋1-dimensional generalization of the Heisenberg ferromagnetic equation and has a non-isospectral Lax pair. The Darboux transformation with non-constant spectral parameter is constructed and an extra constraint on the spectral parameter for the existence of the Darboux transformation is derived. Explicit expressions of the solutions of the Myrzakulov-I equation are presented.
参考文献9
-
1Myrzakulov R, Nugmanova G N and Syzdykova R N 1998 J. Phys. A: Math. Gen. 31 9535.
-
2Zhang Z H, Deng M, Zhao W Z and Wu K 2006 J. Phys. Soc. Jpn. 75 104002.
-
3Myrzakulov R, Vijayalakshmi S, Nugmanova G N and Lakshmanan M 1997 Phys. Left. A 233 391.
-
4Martina L, Myrzakul Kur, Myrzakulov R and Soliani G 2001 J. Math. Phys. 42 1397.
-
5Gu C H and Zhou Z X 1987 Lett. Math. Phys. 13 179.
-
6Cieslinski J 1995 J. Math. Phys. 36 5670.
-
7Ma W X 1997 Lett. Math. Phys. 39 33.
-
8Gu C H, Hu H S and Zhou Z X 2006 Darboux Transformations in Integrable Systems (Dordrecht: Springer).
-
9Zhao S L, Zhang D J and Chen D Y 2009 Chin. Phys. Lett. 26 030202.
-
1尤维石.促使学生提问的教学策略[J].小学教学参考（数学版）,2009(12):42-43. 被引量：1
-
2刘爱华.初中语文教学中如何培养学生的质疑能力[J].读写算（教育导刊）,2014(13):110-110.
-
3马爱寿,黄金平.阅读教学中培养学生质疑能力的途径和方法[J].课外语文（下）,2015,0(1):115-115.
-
4陈爱午.学生质疑能力培养初探[J].技术物理教学,2009,17(3):2-3. 被引量：1
-
5叶佳欣.科学创设“问题情境”的方法[J].科海故事博览：科教创新,2010(7):181-181.
-
6余洵,孟宪义.让学生沉浸在追寻美的过程中……[J].新作文（中学教学版）,2004(4):30-30.
-
7曾昭安.黎明的“三只鸟”[J].聪明泉（小学1-3年级）,2003,0(8):3-3.
-
8石素展.高中化学教学中对于学生问题意识的培养[J].读写算（教育教学研究）,2011(14):77-77.
-
9李明海.语文教学中学生提问积极性的调动[J].文学教育,2009(13):30-31.
-
10高雪梅.高中物理教学中学生问题意识的培养[J].魅力中国,2011(12):326-326. 被引量：2
