Autore	Liu Tai-Ping <1945->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [1981]
Descrizione fisica	1 online resource (85 p.)
Disciplina	510 s 531/.1133
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Shock waves Conservation laws (Mathematics) Differential equations, Hyperbolic - Numerical solutions
Soggetto genere / forma	Electronic books.
ISBN	1-4704-0647-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Table of Contents""; ""1. Introduction""; ""2. Jump relation""; ""3. Admissibility criterion""; ""4. Resolution of discontinuities""; ""5. Interaction of elementary waves, I""; ""6. Stability of wave pattern""; ""7. Interactions of elementary waves II""; ""8. Nonlinear functional""; ""9. Wave partition""; ""10. Convergence of approximate solutions""; ""11. Expansion waves""; ""12. Continuity points""; ""13. Curves of discontinuity""; ""14. Points of interactions""; ""15. Regularity of the solution""; ""16. Asymptotic behavior of the solution""; ""17. Linear and nonlinear waves""
Record Nr.	UNINA-9910480565103321

Autore	Yan Zhenya
Pubbl/distr/stampa	New York, : Nova Science Publishers, c2009
Descrizione fisica	1 online resource (162 p.)
Disciplina	531/.1133
Soggetto topico	Nonlinear waves - Mathematical models Solitons - Mathematical models Nonlinear difference equations Differential equations, Nonlinear
Soggetto genere / forma	Electronic books.
ISBN	1-60876-607-1
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNINA-9910452464603321

Autore	Yan Zhenya
Edizione	[1st ed.]
Pubbl/distr/stampa	New York, : Nova Science Publishers, c2009
Descrizione fisica	1 online resource (162 p.)
Disciplina	531/.1133
Soggetto topico	Nonlinear waves - Mathematical models Solitons - Mathematical models Nonlinear difference equations Differential equations, Nonlinear
ISBN	1-60876-607-1
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Intro -- Advances in Nonlinear Waves and Symbolic Computation -- Contents -- Preface -- Chirped Optical Solitons -- Abstract -- 1. Introduction -- 2. Theoretical Model -- 3. Chirped Optical Soliton: Hirota Bilinear Method -- 4. Physical Explanation of Chirped Optical Soliton: Variational Analysis -- 5. Pulse Compression in Terms of Chirped Soliton -- 6. Chirped Higher Order Solitons -- 7. Studies on Chirped Higher Order Solitons -- 8. Conclusion -- Acknowledgement -- References -- Direct Methods and Symbolic Software for Conservation Laws of Nonlinear Equations -- Abstract -- 1. Introduction -- Part I: Partial Differential Equations in (1 + 1) Dimensions -- 2. The Most Famous Example in Historical Perspective -- 3. The Method of Undetermined Coefficients -- 4. Tools from the Calculus of Variations and Differential Geometry -- 5. Conservation Laws of Nonlinear Systems of Polynomial PDEs -- 6. Conservation Laws of Systems of PDEs with Transcendental Nonlinearities -- 7. Conservation Laws of Scalar Equations with Transcendental and Mixed Derivative Terms -- Part II: Nonlinear Differential-Difference Equations -- 8. Nonlinear DDEs and Conservation Laws -- 9. The Method of Undetermined Coefficients for DDEs -- 10. Discrete Euler and Homotopy Operators -- 11. Conservation Laws of Nonlinear Systems of DDEs -- 12. A New Method to Compute Conservation Laws of Nonlinear DDEs -- 13. The Gardner Lattice -- 14. Additional Examples of Nonlinear DDEs -- 15. Software to Compute Conservation Laws for PDEs and DDEs -- 16. Summary -- Acknowledgements -- References -- Nonclassical Potential Symmetries for a Nonlinear Thermal Wave Equation -- Abstract -- 1. Introduction -- 2. Nonclassical Potential Symmetries for the Nonlinear Thermal Wave Equation -- 3. Nonclassical Symmetries and Nonclassical Potential Symmetries for the Fokker-Planck Equation. 4. Concluding Remarks -- Acknowledgements -- References -- Anti-Dark Solitons of the Resonant Nonlinear Schrodinger Equation -- Abstract -- 1. Introduction -- 2. Bilinear Form of the Resonant Nonlinear Schrodinger Equation -- 3. Soliton Solutions -- 4. Periodic Wave Solutions -- 5. Conclusions -- Acknowledgement -- References -- Similarity Solutions for the Boiti-Leon-Pempinelli Equation with Symbolic Computation -- Abstract -- 1. Introduction -- 2. Symmetry Reductions for the BLP Equation -- 3. Similarity Solutions -- 4. Maple Implementation of the Further Extended Tanh Method -- 5. Conclusion and Discussion -- References -- The New Sine-Gordon Expansion Algorithms to Construct Exact Solutions of Nonlinear Wave Equations -- Abstract -- 1. Introduction and Proposition -- 2. The New Sine-Gordon Equation Expansion Algorithm -- 3. The Applications of Algorithm I -- 4. The Application of Algorithm II -- 5. Conclusions -- Acknowledgement -- References -- Index.
Record Nr.	UNINA-9910809638603321

Edizione	[1st ed. 2005.]
Pubbl/distr/stampa	Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2005
Descrizione fisica	1 online resource (XVIII, 448 p. 220 illus. Also available online.)
Disciplina	531/.1133
Collana	Lecture Notes in Physics
Soggetto topico	Lasers Photonics Quantum optics Engineering Optics, Lasers, Photonics, Optical Devices Quantum Optics Engineering, general
ISBN	3-540-31528-4
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Introduction -- Dissipative Solitons of the Swift-Hohenberg Equation -- Dissipative Magneto-Optic Solitons -- Dissipative Solitons in Semiconductor Optical Amplifiers -- Dissipative Solitons in Pattern-Forming Nonlinear Optical Systems: Cavity Solitons and Feedback Solitons -- Solitons in Laser Schemes with Saturable Absorption -- Spatial Resonator Solitons -- Dissipative Temporal Solitons -- Soliton Dynamics in Modelocked Lasers -- Temporal Multi-Soliton Complexes Generated by Passively Modelocked Lasers -- Dissipative Solitons in Reaction-Diffusion Systems -- Discrete Ginzburg-Landau Solitons -- Discrete Dissipative Solitons -- Nonlinear Schroedinger Equation with Dissipation: Two Models for Bose-Einstein Condensates -- Solitary Waves of Nonlinear Equations -- Stability Analysis of Pulses via the Evans Function: Dissipative Systems -- Bifurcations and Strongly Amplitude-Modulated Pulses of the Complex Ginzburg-Landau Equation.
Record Nr.	UNINA-9910144608403321

Autore	Majda Andrew <1949->
Pubbl/distr/stampa	Providence, R.I., USA : , : American Mathematical Society, , [1983]
Descrizione fisica	1 online resource (101 p.)
Disciplina	510 s 531/.1133
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Shock waves Differential equations, Hyperbolic - Numerical solutions Conservation laws (Physics)
Soggetto genere / forma	Electronic books.
ISBN	1-4704-0691-8
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""TABLE OF CONTENTS""; ""Â0. INTRODUCTION""; ""Â1. STRUCTURAL CONDITIONS AND SHOCK FRONT INITIAL DATA: SOME PRELIMINARY FACTS""; ""Â2. THE MAP TO A FIXED DOMAIN, COMPATIBILITY CONDITIONS, AND AN APPROXIMATE SOLUTION""; ""2.A Reformulation by Mapping to a Fixed Domain""; ""2.B Derivation of the Higher Order Compatibility Conditions""; ""2.C Large Classes of Initial Data Satisfying the Compatibility Solution""; ""2.D Construction of an Approximate Solution""; ""Â3. THE ITERATION SCHEME""; ""Â4. CONVERGENCE OF THE ITERATION SCHEME"" ""Â4.A High Norm Boundedness â€? The Proof of Proposition 4.1""""Â4.B The Proof of Proposition 4.2""; ""Â5. THE MAIN LINEAR ESTIMATE""; ""APPENDIX. NONLINEAR CALCULUS INEQUALITIES ON SOBOLEV SPACES WEIGHTED WITH TIME""; ""A.A: A Summary of Standard Calculus Inequalities""; ""A.B: Nonlinear Commutator Estimates â€? The Proof of Lemma 5.5""; ""A.C: Estimates for Normal Derivatives â€? Lemma 5.3 and Lemmas 2.2, 2.3, and 3.2""; ""BIBLIOGRAPHY""
Record Nr.	UNINA-9910480045103321