Edit Profile (opens in new tab) Kirchev, Kiril P. Compute Distance To: Compute Author ID: kirchev.kiril-p Published as: Kirchev, K. P.; Kirchev, Kiril; Kirchev, Kiril P.; Kirchev, K.; Kircev, K. P.; Kircev, Kiril P. more...less Documents Indexed: 38 Publications since 1971, including 1 Book Co-Authors: 7 Co-Authors with 30 Joint Publications 166 Co-Co-Authors all top 5 Co-Authors 6 single-authored 9 Iliev, Iliya Dimov 8 Borisova, Galina S. 8 Hakkaev, Sevdzhan A. 4 Khristov, Evgeni Khristov 3 Zhidkov, Eugeni P. 2 Troyanski, Stanimir L. 1 Gubreev, Gennadiĭ Mykhaĭlovych all top 5 Serials 11 Doklady Bolgarskoĭ Akademii Nauk 4 Integral Equations and Operator Theory 4 Serdica 3 Siberian Mathematical Journal 2 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 2 Serdica Mathematical Journal 1 Journal of Mathematical Analysis and Applications 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Godishnik na Sofiĭskiya Universitet. Matematicheski Fakultet 1 Pitman Monographs and Surveys in Pure and Applied Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Nonlinear Science all top 5 Fields 16 Partial differential equations (35-XX) 15 Probability theory and stochastic processes (60-XX) 12 Operator theory (47-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 140 times in 109 Documents Cited by ▼ Year ▼ Local well-posedness and orbital stability of solitary wave solutions for the generalized Camassa-Holm equation. Zbl 1076.35098Hakkaev, Sevdzhan; Kirchev, Kiril 44 2005 Stability of periodic travelling shallow-water waves determined by Newton’s equation. Zbl 1136.35317Hakkaev, Sevdzhan; Iliev, Iliya D.; Kirchev, Kiril 19 2008 Stability and instability of solitary waves for one-dimensional singular Schrödinger equations. Zbl 0783.35071Iliev, Ilya D.; Kirchev, Kiril P. 14 1993 On the well-posedness and stability of peakons for a generalized Camassa-Holm equation. Zbl 1394.35416Hakkaev, Sevdzhan; Kirchev, Kiril 12 2006 Spectral methods in soliton equations. Zbl 0874.35104Iliev, I. D.; Khristov, E. Kh.; Kirchev, K. P. 11 1994 Stability of periodic traveling waves for complex modified Korteweg-de Vries equation. Zbl 1187.35211Hakkaev, Sevdzhan; Iliev, Iliya D.; Kirchev, Kiril 10 2010 Stability of a solution of the form of a solitary wave for a nonlinear complex modified Korteweg-de Vries equation. Zbl 0597.35103Zhidkov, E. P.; Iliev, I. D.; Kirchev, K. P. 7 1985 Stability of periodic traveling waves for the quadratic and cubic nonlinear schrödinger equations. Zbl 1270.35081Hakkaev, Sevdzhan; Iliev, Iliya D.; Kirchev, Kiril 3 2013 A triangular model of regular coupling of dissipative and antidissipative operators. Zbl 1087.47038Kirchev, K.; Borisova, G. 2 2005 Nonstationary curves in Hilbert spaces and their correlation functions. I. Zbl 0805.60031Kirchev, K.; Zolotarev, V. 2 1994 Nonstationary curves in Hilbert spaces and their correlation functions. II. Zbl 0886.60027Kirchev, K.; Zolotarev, V. 2 1994 Nondissipative curves in Hilbert spaces having a limit of the corresponding correlation function. Zbl 1001.47022Kirchev, Kiril P.; Borisova, Galina S. 2 2001 Regular couplings of dissipative and anti-dissipative unbounded operators, asymptotics of the corresponding non-dissipative processes and the scattering theory. Zbl 1171.47009Kirchev, Kiril P.; Borisova, Galina S. 2 2007 Triangular models and asymptotics of continuous curves with bounded and unbounded semigroup generators. Zbl 1145.47011Kirchev, Kiril P.; Borisova, Galina S. 2 2005 On the Cauchy problem for the nonlinear modified Korteweg-de Vries equation on the whole axis. Zbl 0562.35076Zhidkov, E. P.; Kirchev, K. P. 1 1983 Cauchy problem for modified Korteweg-de Vries equation with piecewise- type initial data. Zbl 0567.35074Zhidkov, E. P.; Kirchev, K. P. 1 1984 Stability and instablility of travelling waves for nonlinear complex equations of Benjamin-Bona-Mahony type. Zbl 1006.35082Hakkaev, S.; Kirchev, K. 1 2002 Solitonic combinations and commuting nonselfadjoint operators. Zbl 1336.47070Borisova, Galina S.; Kirchev, Kiril P. 1 2015 Dissipative random processes. Zbl 0373.60049Kirchev, Kiril P. 1 1975 Commuting nonselfadjoint operators and their characteristic operator-functions. Zbl 0985.47007Kirchev, K. P.; Borisova, G. S. 1 1997 Über eine Charakteristik von Räumen mit skalarem Produkt. Zbl 0327.46031Kircev, K. P.; Trojanski, S. L. 1 1975 On the stability of running waves for non-linear equations of Benjamin- Bona-Mahony type. Zbl 0688.35087Iliev, I. D.; Kirchev, K. P. 1 1989 Solitonic combinations and commuting nonselfadjoint operators. Zbl 1336.47070Borisova, Galina S.; Kirchev, Kiril P. 1 2015 Stability of periodic traveling waves for the quadratic and cubic nonlinear schrödinger equations. Zbl 1270.35081Hakkaev, Sevdzhan; Iliev, Iliya D.; Kirchev, Kiril 3 2013 Stability of periodic traveling waves for complex modified Korteweg-de Vries equation. Zbl 1187.35211Hakkaev, Sevdzhan; Iliev, Iliya D.; Kirchev, Kiril 10 2010 Stability of periodic travelling shallow-water waves determined by Newton’s equation. Zbl 1136.35317Hakkaev, Sevdzhan; Iliev, Iliya D.; Kirchev, Kiril 19 2008 Regular couplings of dissipative and anti-dissipative unbounded operators, asymptotics of the corresponding non-dissipative processes and the scattering theory. Zbl 1171.47009Kirchev, Kiril P.; Borisova, Galina S. 2 2007 On the well-posedness and stability of peakons for a generalized Camassa-Holm equation. Zbl 1394.35416Hakkaev, Sevdzhan; Kirchev, Kiril 12 2006 Local well-posedness and orbital stability of solitary wave solutions for the generalized Camassa-Holm equation. Zbl 1076.35098Hakkaev, Sevdzhan; Kirchev, Kiril 44 2005 A triangular model of regular coupling of dissipative and antidissipative operators. Zbl 1087.47038Kirchev, K.; Borisova, G. 2 2005 Triangular models and asymptotics of continuous curves with bounded and unbounded semigroup generators. Zbl 1145.47011Kirchev, Kiril P.; Borisova, Galina S. 2 2005 Stability and instablility of travelling waves for nonlinear complex equations of Benjamin-Bona-Mahony type. Zbl 1006.35082Hakkaev, S.; Kirchev, K. 1 2002 Nondissipative curves in Hilbert spaces having a limit of the corresponding correlation function. Zbl 1001.47022Kirchev, Kiril P.; Borisova, Galina S. 2 2001 Commuting nonselfadjoint operators and their characteristic operator-functions. Zbl 0985.47007Kirchev, K. P.; Borisova, G. S. 1 1997 Spectral methods in soliton equations. Zbl 0874.35104Iliev, I. D.; Khristov, E. Kh.; Kirchev, K. P. 11 1994 Nonstationary curves in Hilbert spaces and their correlation functions. I. Zbl 0805.60031Kirchev, K.; Zolotarev, V. 2 1994 Nonstationary curves in Hilbert spaces and their correlation functions. II. Zbl 0886.60027Kirchev, K.; Zolotarev, V. 2 1994 Stability and instability of solitary waves for one-dimensional singular Schrödinger equations. Zbl 0783.35071Iliev, Ilya D.; Kirchev, Kiril P. 14 1993 On the stability of running waves for non-linear equations of Benjamin- Bona-Mahony type. Zbl 0688.35087Iliev, I. D.; Kirchev, K. P. 1 1989 Stability of a solution of the form of a solitary wave for a nonlinear complex modified Korteweg-de Vries equation. Zbl 0597.35103Zhidkov, E. P.; Iliev, I. D.; Kirchev, K. P. 7 1985 Cauchy problem for modified Korteweg-de Vries equation with piecewise- type initial data. Zbl 0567.35074Zhidkov, E. P.; Kirchev, K. P. 1 1984 On the Cauchy problem for the nonlinear modified Korteweg-de Vries equation on the whole axis. Zbl 0562.35076Zhidkov, E. P.; Kirchev, K. P. 1 1983 Dissipative random processes. Zbl 0373.60049Kirchev, Kiril P. 1 1975 Über eine Charakteristik von Räumen mit skalarem Produkt. Zbl 0327.46031Kircev, K. P.; Trojanski, S. L. 1 1975 all cited Publications top 5 cited Publications all top 5 Cited by 149 Authors 8 Hakkaev, Sevdzhan A. 7 Kirchev, Kiril P. 5 Dong, Xiaofang 5 Tian, Lixin 5 Zhou, Shouming 4 Mu, Chunlai 4 Ohta, Masahito 4 Pastor, Ademir 3 Borisova, Galina S. 3 Freire, Igor Leite 3 Iliev, Iliya Dimov 3 Lai, Shaoyong 2 Arruda, Lynnyngs Kelly 2 Banquet Brango, Carlos 2 Boyadjiev, Todor L. 2 de Andrade, Thiago Pinguello 2 Fan, Xinghua 2 Garrisi, Daniele 2 Gerdzhikov, Vladimir Stefanov 2 Gramchev, Todor V. 2 Hayashi, Masayuki 2 Li, Hengyan 2 Li, Nan 2 Liu, Xiaohua 2 Liu, Yue 2 Ma, LiYuan 2 Mi, Yongsheng 2 Natali, Fábio M. Amorin 2 Novruzov, Emil B. 2 Shen, Shoufeng 2 Stefanov, Atanas G. 2 Tsai, Tai-Peng 2 Wu, Meng 2 Xu, Tianzhou 2 Yan, Wei 2 Yan, Weiping 2 Yang, Shaojie 2 Yin, Jiuli 2 Zong, Xiju 1 Ai, Xiaolian 1 Angulo Pava, Jaime 1 Biagioni, Hebe A. 1 Boyadjiev, G. P. 1 Brandolese, Lorenzo 1 Cappiello, Marco 1 Carles, Rémi 1 Chen, Aiyong 1 Chen, Huiping 1 Chen, Jianze 1 Chen, Yongqiang 1 Colin, Mathieu 1 Colin, Thierry 1 Cortez, Manuel Fernando 1 da Silva, Priscila Leal 1 Darós, Alisson 1 de Souza, Ligia Corrêa 1 Demirkaya, Aslihan 1 Deng, Wenjie 1 Dimova, Stefka N. 1 Ding, Danping 1 Faminskii, Andrei V. 1 Fan, Jinling 1 Farah, Luiz Gustavo 1 Filho, Nazime Sales 1 Fu, Ying 1 Fukaya, Noriyoshi 1 Gan, Zaihui 1 Gao, Yuetian 1 Gesztesy, Fritz 1 Gruber, Peter Manfred 1 Gui, Guilong 1 Guo, Jiayu 1 Guo, Qing 1 Hristov, Ivan Georgiev 1 Hwang, Guenbo 1 Ivanov, Rossen I. 1 Jia, Rui-Rui 1 Kang, Shin Min 1 Kfoury, Perla 1 Kwun, Young Chel 1 Le Coz, Stefan 1 Li, Jinlu 1 Li, Liangchen 1 Li, Shaoyong 1 Li, Shuang 1 Li, Yongsheng 1 Liu, Fei Justina 1 Liu, Junru 1 Liu, Yongqi 1 Lu, Xinhui 1 Luo, Ting 1 Lv, Pei 1 Ma, Wen-Xiu 1 Martel, Yvan 1 Martins, Renan H. 1 Matveev, Vladimir B. 1 Melemov, Hristo T. 1 Moon, Byungsoo 1 Paliathanasis, Andronikos 1 Pavlov, Maxim V. ...and 49 more Authors all top 5 Cited in 59 Serials 14 Journal of Differential Equations 8 Nonlinear Analysis. Real World Applications 6 Journal of Mathematical Analysis and Applications 6 Journal of Mathematical Physics 4 Monatshefte für Mathematik 4 Abstract and Applied Analysis 3 Applicable Analysis 3 Integral Equations and Operator Theory 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Communications in Nonlinear Science and Numerical Simulation 2 Theoretical and Mathematical Physics 2 Physica D 2 Journal of Nonlinear Science 2 Journal of Evolution Equations 1 Communications in Mathematical Physics 1 Fluid Dynamics 1 Inverse Problems 1 Physics Letters. A 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal of Soviet Mathematics 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Calculus of Variations and Partial Differential Equations 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Differential Equations and Dynamical Systems 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Boundary Value Problems 1 Communications in Mathematical Analysis 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Nonlinear Analysis. Theory, Methods & Applications 1 Electronic Research Archive 1 Results in Applied Mathematics 1 Probability and Mathematical Physics all top 5 Cited in 18 Fields 100 Partial differential equations (35-XX) 23 Dynamical systems and ergodic theory (37-XX) 13 Fluid mechanics (76-XX) 7 Operator theory (47-XX) 5 Numerical analysis (65-XX) 4 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 3 Optics, electromagnetic theory (78-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year