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An improved method for evaluating Max Noether conditions: case of breadth one (extended abstract). (English) Zbl 1345.65036

Moreno Maza, Marc (ed.), Proceedings of the 2011 international workshop on symbolic-numeric computation, SNC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0515-0). 102-103 (2011).

MSC: 65H10 13P15 65H04 68W30

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Kaltofen, Erich L.; Nehring, Michael

Supersparse black box rational function interpolation. (English) Zbl 1323.68606

Leykin, Anton (ed.), Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0675-1). 177-186 (2011).

MSC: 68W30 12Y05 65D05 68Q25

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Polak, Agnieszka

A mesh algorithm for principal quadratic forms. (English) Zbl 1283.68410

Ann. Univ. Mariae Curie-Skłodowska, Sect. A1, Inform. 11, No. 1, 23-31 (2011).

MSC: 68W30 11Y50

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Cucker, Felipe; Malajovich, Gregorio

Systems of polynomial equations. (English) Zbl 1361.65031

Publ. Mat. Urug. 13, 99-133 (2011).

MSC: 65H10 13P15 13F20 65H20 68W30

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Wang, Lei; Xia, Tiecheng

New exact solutions of the Nizhnik-Novikov-Veselov equation. (English) Zbl 1265.35320

Commun. Appl. Math. Comput. 25, No. 1, 20-29 (2011).

MSC: 35Q53 68W30

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Iwasaki, Chisato

Calculus of pseudo-differential operators and a local index of Dirac operators. (English) Zbl 1256.58007

Rodino, Luigi (ed.) et al., Pseudo-differential operators: analysis, applications and computations. Selected papers based on lectures presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO), London, UK, July 13–18, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0048-8/hbk; 978-3-0348-0049-5/ebook). Operator Theory: Advances and Applications 213, 123-136 (2011).

Reviewer: Luigi Rodino (Torino)

MSC: 58J40 58J35 58J20

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Ngô, Lâm Xuân Châu; Winkler, Franz

Rational general solutions of parametrizable AODEs. (English) Zbl 1249.34006

Publ. Math. Debr. 79, No. 3-4, 573-587 (2011).

MSC: 34A05 34A26 14E05 14H50 68W30

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Li, Min; Xiao, Jing-Hua; Liu, Wen-Jun; Jiang, Yan; Sun, Kun; Tian, Bo

Breather and double-pole solutions of the derivative nonlinear Schrödinger equation from optical fibers. (English) Zbl 1241.35189

Phys. Lett., A 375, No. 3, 549-557 (2011).

MSC: 35Q55 78A50 35C08 68W30

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Meng, Dexin; Gao, Yitian; Wang, Lei; Gai, Xiaoling

\(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water. (English) Zbl 1362.76018

Appl. Math. Comput. 218, No. 8, 4049-4055 (2011).

MSC: 76B25 35Q51

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Xu, Pengbo; Gao, Yitian; Gai, Xiaoling; Meng, Dexin; Shen, Yujia; Wang, Lei

Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics. (English) Zbl 1380.76007

Appl. Math. Comput. 218, No. 6, 2489-2496 (2011).

MSC: 76B20 35Q51 35Q35

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Shemyakova, E. S.

\(X\)- and \(Y\)-invariants of partial differential operators in the plane. (English. Russian original) Zbl 1255.35020

Program. Comput. Softw. 37, No. 4, 192-196 (2011); translation from Programmirovanie 37, No. 4 (2011).

MSC: 35A30 35B06 68W30 35A22 35C05

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Malajovich, Gregorio

Nonlinear equations. Paper from the 28th Brazilian mathematics colloquium – 28\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 2011. (English) Zbl 1237.65051

Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0329-3/pbk). xiv, 177 p. (2011).

Reviewer: Hang Lau (Montréal)

MSC: 65H10 13P15 13F20 65H20 68W30

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Gai, Xiao-Ling; Gao, Yi-Tian; Yu, Xin; Wang, Lei

Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations. (English) Zbl 1275.76227

Appl. Math. Comput. 218, No. 2, 271-279 (2011).

MSC: 76X05 37K35 82D10

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Wójcik, Klaudiusz

From Ważewski sets to chaotic dynamics. (English) Zbl 1229.37012

Izydorek, Marek (ed.), Juliusz Schauder Center winter school on topological methods in nonlinear analysis, Toruń, Poland, February 9–13, 2009. Toruń: Nicolaus Copernicus University, Juliusz Schauder Center for Nonlinear Studies. Lecture Notes in Nonlinear Analysis 12, 123-139 (2011).

MSC: 37B30 37B35 37B10 37B55

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Ghanbari, Behzad; Porshokouhi, Mehdi Gholami

An analytic approach for some equations arising in heat transfer in a quiescent medium with exponential nonlinearities. (English) Zbl 1223.65080

Gen. Math. Notes 2, No. 1, 221-231 (2011).

MSC: 65M70 35K05 35C10 68W30

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Korporal, Anja; Regensburger, Georg; Rosenkranz, Markus

Regular and singular boundary problems in Maple. (English) Zbl 1308.65127

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 13th international workshop, CASC 2011, Kassel, Germany, September 5–9, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-23567-2/pbk). Lecture Notes in Computer Science 6885, 280-293 (2011).

MSC: 65L10 68W30

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Chang, Jin-Rong

The exp-function method and generalized solitary solutions. (English) Zbl 1219.35001

Comput. Math. Appl. 61, No. 8, 2081-2084 (2011).

MSC: 35-04 35C08 68W30

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Gheffar, A.; Abramov, S.

Valuations of rational solutions of linear difference equations at irreducible polynomials. (English) Zbl 1221.68298

Adv. Appl. Math. 47, No. 2, 352-364 (2011).

MSC: 68W30 39A06 68W40

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Feng, Qian; Gao, Yi-Tian; Meng, Xiang-Hua; Yu, Xin; Sun, Zhi-Yuan; Xu, Tao; Tian, Bo

N-soliton-like solutions and Bäcklund transformations for a non-isospectral and variable-coefficient modified Korteweg-de Vries equation. (English) Zbl 1218.35207

Int. J. Mod. Phys. B 25, No. 5, 723-733 (2011).

MSC: 35Q53 35Q51 37K35

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Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.

Regeneration homotopies for solving systems of polynomials. (English) Zbl 1221.65121

Math. Comput. 80, No. 273, 345-377 (2011).

Reviewer: Alyson Reeves (Bowie)

MSC: 65H10 65H20 13P05 68W30 65H04 14Q15 30C15

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Liu, Wen-Jun; Tian, Bo; Jiang, Yan; Sun, Kun; Wang, Pan; Li, Min; Qu, Qi-Xing

Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation. (English) Zbl 1211.35255

Appl. Math. Comput. 217, No. 9, 4369-4376 (2011).

Reviewer: Gheorghe Zet (Iaşi)

MSC: 35Q56 37K35 37K40

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Liang, Songxin; Jeffrey, David J.

An analytical approach for solving nonlinear boundary value problems in finite domains. (English) Zbl 1206.65186

Numer. Algorithms 56, No. 1, 93-106 (2011).

MSC: 65L10 34B15 68W30

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Found 22 Documents (Results 1–22)

An improved method for evaluating Max Noether conditions: case of breadth one (extended abstract). (English) Zbl 1345.65036

Supersparse black box rational function interpolation. (English) Zbl 1323.68606

A mesh algorithm for principal quadratic forms. (English) Zbl 1283.68410

Systems of polynomial equations. (English) Zbl 1361.65031

New exact solutions of the Nizhnik-Novikov-Veselov equation. (English) Zbl 1265.35320

Calculus of pseudo-differential operators and a local index of Dirac operators. (English) Zbl 1256.58007

Rational general solutions of parametrizable AODEs. (English) Zbl 1249.34006

Breather and double-pole solutions of the derivative nonlinear Schrödinger equation from optical fibers. (English) Zbl 1241.35189

\(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water. (English) Zbl 1362.76018

Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics. (English) Zbl 1380.76007

\(X\)- and \(Y\)-invariants of partial differential operators in the plane. (English. Russian original) Zbl 1255.35020

Nonlinear equations. Paper from the 28th Brazilian mathematics colloquium – 28\(^{\text o}\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 2011. (English) Zbl 1237.65051

Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations. (English) Zbl 1275.76227

From Ważewski sets to chaotic dynamics. (English) Zbl 1229.37012

An analytic approach for some equations arising in heat transfer in a quiescent medium with exponential nonlinearities. (English) Zbl 1223.65080

Regular and singular boundary problems in Maple. (English) Zbl 1308.65127

The exp-function method and generalized solitary solutions. (English) Zbl 1219.35001

Valuations of rational solutions of linear difference equations at irreducible polynomials. (English) Zbl 1221.68298

N-soliton-like solutions and Bäcklund transformations for a non-isospectral and variable-coefficient modified Korteweg-de Vries equation. (English) Zbl 1218.35207

Regeneration homotopies for solving systems of polynomials. (English) Zbl 1221.65121

Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation. (English) Zbl 1211.35255

An analytical approach for solving nonlinear boundary value problems in finite domains. (English) Zbl 1206.65186

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