基本介紹
多年來，劉希強教授一直從事套用數學方面的研究工作. 目前主要從事非線性偏微分方程解的套用研究. 正主持國家自然科學基金和中國工程物理研究院基金聯合資助項目”流體力學方程和粒子輸運方程人為解的套用研究”課題, 該課題屬於數學、物理在國防核工業中的套用研究,也是國際上程式驗證和確認(V and V)中重點關注的問題之一。在非線性微分系統的精確解研究方面，已主持完成山東省自然科學基金資助項目2項,參與山東省自然科學基金資助項目2項. 近幾年來國內外專業期刊發表論文40餘篇, 其中SCI和EI論文30餘篇. 獲山東省高校優秀科研成果一等獎一項, 獲山東省自然科學獎三等獎一項. 在已培養畢業的12名研究生中,考取攻讀博士學位2名, 4人次獲山東省研究生優秀科技創新成果獎三等獎2項, 一人獲山東省優秀畢業研究生稱號, 多人獲聊城大學優秀畢業論文和燎原獎學金。
先後主持國家自然科學基金項目1項、主持或承擔山東省自然科學基金項目4項、山東省軟科學項目1項。
一、主要科研項目
1. 流體力學方程與粒子輸運方程人為解的套用研究, 2011-2013,國家自然科學基金與中物院聯合基金 (11076015).
2. 四元數對稱群方法在波方程求解中 的套用. 2008-2010, 山東省自然科學基金(Y2008A35).
3. 高維非線性方程不變解的研究。2004-2006.山東省自然科學基金(2004zx16).
4．非連續孤子系統的局域激發及其性質研究. 2007-2009, 山東省自然科學基金(2007G64).
5. 高維非線性系統的局域激發模式及相互作用行為的研究.2005-2007, 山東省自然科學基金(Q2005A01).
二、主要科研獲獎
1. 灰色經濟預測模型及其套用, 獲山東省科學技術協會專著三等獎,1998.
2. 均衡問題及其在微分方程中的套用.山東省高等學校優秀科研成果獎一等獎.山東省教育廳.2009.
3. 幾類非線性發展方程的 精確解及守恆律.,山東省研究生優秀科技創新成果三等獎.,2009.
4. 非線性發展方程的精確解, 山東省研究生優秀科技創新成果三等獎.,2010.
5. 廣義凸性和廣義單調性及其在微分方程和 控制 系統中的套用, 山東科學技術獎三等獎,2011.
三、主要專著
1. 灰色關聯空間引論。貴州人民出版社,1993年.
2. 灰色經濟預測模型及其套用, 黃河出版社,1996年.
四、主要論文
1. Some exact solutions of the variable coefficient Schrodinger equation, Commun. in Nonlinear Sci. and Num. Simul., 12 (2007).1355-1359.
2. A Direct Transformation Method and its Application to Variable Coefficient Nonlinear Equations of Schrodinger Type, Z. Naturforsch. 64a, (2009) ,697-708.
3. New exact solutions and conservation laws of the (2 +1)-dimensional dispersive long wave equations, Phys. Lett. A 373 (2009) 214-220.
4. The direct symmetry method and its application in variable coefficients Schrodinger equation, Appl. Math. Comput. 187 (2007) 701-707.
5. Symmetry, Reductions and New Exact Solutions of ANNV Equation Through Lax Pair, Commun. Theor. Phys. 50 (2008) . 1–6.
6. Similarity Reductions and Similarity Solutions of the (3+1)-Dimensional Kadomtsev-Petviashvili Equation, Chin. Phys. Lett., 25, 10 (2008) 3527.
7. Classification, reduction, group invariant solutions and conservation laws of the Gardner-KP equation, Appl. Math. Comput. 215 (2009) 1244.
8. Exact Solutions to (2+1)-Dimensional Kaup Kupershmidt Equation, Commun. Theor. Phys. 52 (2009) pp. 795-800.
9. Exact solutions and conservation laws of (2 + 1)-dimensional Boiti-Leon-Pempinelli equation, Appl. Math. Comput. 216 (2010) 2293-2300.
10. A generalized G’/G-expansion method and its applications to nonlinear evolution equations, Appl. Math. Comput. 215 (2010) 3811-3816.
11. Explicit solutions of the (2 + 1)-dimensional AKNS shallow water wave equation with variable coefficients, Appl. Math. Comput. 217 (2010) 1287.
12. Explicit solutions of the Bogoyavlensky-Konoplechenko equation, Appl. Math. Comput. 215 (2010) 3669-3673.
13. Symmetry reduction, exact solutions and conservation laws of the Sawada-Kotera-Kadomtsev-Petviashvili equation, Appl. Math. Comput. 216 (2010) 1065-1071.
14. Explicit solutions of the generalized KdV equations with higher order nonlinearity, Appl. Math. Comput. 171 (2005) 315-319.
15. Symmetry Reductions, Exact Solutions and Conservation Laws of Asymmetric Nizhnik Novikov Veselov Equation, Commun. Theor. Phys. 49 (2008) pp. 1–8.
16. Explicit Solutions of (2+1)-Dimensional Canonical Generalized KP, KdV, and (2+1)-Dimensional Burgers Equations with Variable Coefficients, Commun. Theor. Phys. 52 (2009) pp. 784–790.
17. Symmetry Groups and New Exact Solutions to(2-+-1)-Dimensional Variable Coefficient Canonical Generalized KP Equation, Commun．Theor．Phys．48(2007)PP．405-410.
18. Study of(2+1)-Dimensional Higher-Order Broer-Kaup System, Commun．Theor．Phys 7(2007)PP．403-408.
19. Symmetry reductions and exact solutions of the (2 + 1)-dimensional Jaulent-Miodek equation, Appl. Math. Comput. 219 (2012) 911-916.
20. Symmetries and Exact Solutions of the Breaking Soliton Equation, Commun. Theor. Phys. 56 (2011) 851–855.
21. New Multiple Soliton-like and Periodic Solutions for (2+1)-Dimensional Canonical Generalized KP Equation with Variable Coefficients, Commun. Theor. Phys. 46 (2006) pp. 793–798.
一、主要科研項目
1. 流體力學方程與粒子輸運方程人為解的套用研究, 2011-2013,國家自然科學基金與中物院聯合基金 (11076015).
2. 四元數對稱群方法在波方程求解中 的套用. 2008-2010, 山東省自然科學基金(Y2008A35).
3. 高維非線性方程不變解的研究。2004-2006.山東省自然科學基金(2004zx16).
4．非連續孤子系統的局域激發及其性質研究. 2007-2009, 山東省自然科學基金(2007G64).
5. 高維非線性系統的局域激發模式及相互作用行為的研究.2005-2007, 山東省自然科學基金(Q2005A01).
二、主要科研獲獎
1. 灰色經濟預測模型及其套用, 獲山東省科學技術協會專著三等獎,1998.
2. 均衡問題及其在微分方程中的套用.山東省高等學校優秀科研成果獎一等獎.山東省教育廳.2009.
3. 幾類非線性發展方程的 精確解及守恆律.,山東省研究生優秀科技創新成果三等獎.,2009.
4. 非線性發展方程的精確解, 山東省研究生優秀科技創新成果三等獎.,2010.
5. 廣義凸性和廣義單調性及其在微分方程和 控制 系統中的套用, 山東科學技術獎三等獎,2011.
三、主要專著
1. 灰色關聯空間引論。貴州人民出版社,1993年.
2. 灰色經濟預測模型及其套用, 黃河出版社,1996年.
四、主要論文
1. Some exact solutions of the variable coefficient Schrodinger equation, Commun. in Nonlinear Sci. and Num. Simul., 12 (2007).1355-1359.
2. A Direct Transformation Method and its Application to Variable Coefficient Nonlinear Equations of Schrodinger Type, Z. Naturforsch. 64a, (2009) ,697-708.
3. New exact solutions and conservation laws of the (2 +1)-dimensional dispersive long wave equations, Phys. Lett. A 373 (2009) 214-220.
4. The direct symmetry method and its application in variable coefficients Schrodinger equation, Appl. Math. Comput. 187 (2007) 701-707.
5. Symmetry, Reductions and New Exact Solutions of ANNV Equation Through Lax Pair, Commun. Theor. Phys. 50 (2008) . 1–6.
6. Similarity Reductions and Similarity Solutions of the (3+1)-Dimensional Kadomtsev-Petviashvili Equation, Chin. Phys. Lett., 25, 10 (2008) 3527.
7. Classification, reduction, group invariant solutions and conservation laws of the Gardner-KP equation, Appl. Math. Comput. 215 (2009) 1244.
8. Exact Solutions to (2+1)-Dimensional Kaup Kupershmidt Equation, Commun. Theor. Phys. 52 (2009) pp. 795-800.
9. Exact solutions and conservation laws of (2 + 1)-dimensional Boiti-Leon-Pempinelli equation, Appl. Math. Comput. 216 (2010) 2293-2300.
10. A generalized G’/G-expansion method and its applications to nonlinear evolution equations, Appl. Math. Comput. 215 (2010) 3811-3816.
11. Explicit solutions of the (2 + 1)-dimensional AKNS shallow water wave equation with variable coefficients, Appl. Math. Comput. 217 (2010) 1287.
12. Explicit solutions of the Bogoyavlensky-Konoplechenko equation, Appl. Math. Comput. 215 (2010) 3669-3673.
13. Symmetry reduction, exact solutions and conservation laws of the Sawada-Kotera-Kadomtsev-Petviashvili equation, Appl. Math. Comput. 216 (2010) 1065-1071.
14. Explicit solutions of the generalized KdV equations with higher order nonlinearity, Appl. Math. Comput. 171 (2005) 315-319.
15. Symmetry Reductions, Exact Solutions and Conservation Laws of Asymmetric Nizhnik Novikov Veselov Equation, Commun. Theor. Phys. 49 (2008) pp. 1–8.
16. Explicit Solutions of (2+1)-Dimensional Canonical Generalized KP, KdV, and (2+1)-Dimensional Burgers Equations with Variable Coefficients, Commun. Theor. Phys. 52 (2009) pp. 784–790.
17. Symmetry Groups and New Exact Solutions to(2-+-1)-Dimensional Variable Coefficient Canonical Generalized KP Equation, Commun．Theor．Phys．48(2007)PP．405-410.
18. Study of(2+1)-Dimensional Higher-Order Broer-Kaup System, Commun．Theor．Phys 7(2007)PP．403-408.
19. Symmetry reductions and exact solutions of the (2 + 1)-dimensional Jaulent-Miodek equation, Appl. Math. Comput. 219 (2012) 911-916.
20. Symmetries and Exact Solutions of the Breaking Soliton Equation, Commun. Theor. Phys. 56 (2011) 851–855.
21. New Multiple Soliton-like and Periodic Solutions for (2+1)-Dimensional Canonical Generalized KP Equation with Variable Coefficients, Commun. Theor. Phys. 46 (2006) pp. 793–798.
