A. Degasperis

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All published works

Action	Title	Year	Authors
+ PDF Chat	Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model	2022	Marcos Caso-Huerta A. Degasperis Priscila Leal da Silva Sara Lombardo M. Sommacal
+ PDF Chat	A new integrable model of long wave–short wave interaction and linear stability spectra	2021	Marcos Caso-Huerta A. Degasperis Sara Lombardo M. Sommacal
+	Coupled nonlinear Schrödinger equations: spectra and instabilities of plane waves	2019	A. Degasperis Sara Lombardo Matteo Sommacal
+ PDF Chat	Integrability and Linear Stability of Nonlinear Waves	2018	A. Degasperis Sara Lombardo M. Sommacal
+ PDF Chat	Darboux polynomial matrices: the classical massive Thirring model as a study case	2015	A. Degasperis
+ PDF Chat	Bragg grating rogue wave	2015	A. Degasperis S. Wabnitz Alejandro B. Aceves
+	Bragg grating rogue wave	2015	A. Degasperis S. Wabnitz Alejandro B. Aceves
+	Darboux polynomial matrices: the classical Massive Thirring Model as study case	2014	A. Degasperis
+	Darboux polynomial matrices: the classical Massive Thirring Model as study case	2014	A. Degasperis
+	Integrability of nonlinear wave equations and solvability of their initial value problem	2012	Juan Pablo Borgna A. Degasperis Mariano Fernando de Leo Diego Rial
+	Integrable nonlocal wave interaction models	2011	A. Degasperis
+	Integrability and solvability of nonlocal wave interaction models	2011	A. Degasperis Diego Rial Piazzale Aldo Moro
+	Degasperis-Procesi equation	2009	A. Degasperis Michela Procesi
+	Multiscale Expansion and Integrability of Dispersive Wave Equations	2008	A. Degasperis
+	DARBOUX CONSTRUCTION OF SOLUTIONS OF INTEGRABLE PDES WITH NONVANISHING BOUNDARY VALUES	2007	A. Degasperis Sara Lombardo
+ PDF Chat	Multicomponent integrable wave equations: I. Darboux-dressing transformation	2007	A. Degasperis Sara Lombardo
+	New integrable PDEs of boomeronic type	2006	F. Calogero A. Degasperis
+	Integrable and Nonintegrable Initial Boundary Value Problems for Soliton Equations 1	2005	A. Degasperis S. V. Manakov P. Santini
+	New Integrable Equations of Nonlinear Schrödinger Type	2004	F. Calogero A. Degasperis
+	Initial-Boundary Value Problems for Linear PDES: The Analyticity Approach	2004	A. Degasperis S. V. Manakov P. Santini
+ PDF Chat	INTEGRABLE AND NON-INTEGRABLE EQUATIONS WITH PEAKONS	2003	A. Degasperis Darryl D. Holm Andrew N. W. Hone
+	Isothermic Surfaces Generated via Bäcklund and Moutard Transformations: Boomeron and Zoomeron Connections	2002	A. Degasperis C. Rogers W. K. Schief
+	None	2002	A. Degasperis S. V. Manakov P. Santini
+ PDF Chat	None	2002	A. Degasperis Darryl D. Holm Andrew N. W. Hone
+	A New Integrable Equation with Peakon Solutions	2002	A. Degasperis Darryl D. Holm Andrew N. W. Hone
+	Initial-Boundary Value Problems for Linear and Soliton PDEs	2002	A. Degasperis S. V. Manakov P. Santini
+	Initial-boundary value problems for linear PDEs: the analyticity approach	2002	A. Degasperis S. V. Manakov P. Santini
+	On the initial-boundary value problems for soliton equations	2001	A. Degasperis S. V. Manakov P. M. Santini
+ PDF Chat	Newton-Equivalent Hamiltonians for the Harmonic Oscillator	2001	A. Degasperis S. N. M. Ruijsenaars
+	Nonlinear Schrödinger-type equations from multiscale reduction of PDEs. I. Systematic derivation	2000	F. Calogero A. Degasperis Ji Xiaoda
+	Multidimensional soliton equations in inhomogeneous media	1998	A. Degasperis S. V. Manakov A. I. Zenchuk
+	Solutions of 1+1 relativistic field models	1998	A. Degasperis S. De Lillo F. Tinebra
+	A test in Asymptotic Integrability of 1 + 1 wave equations	1998	A. Degasperis Michela Procesi
+	Multiple-scale perturbation beyond the nonlinear Schroedinger equation. I	1997	A. Degasperis S. V. Manakov P. M. Santini
+	National Workshop on Nonlinear Dynamics, Pavullo nel Frignano (Modena), 19-22 May 1994 = Incontro Nazionale sulla Dinamica Non Lineare, Pavullo nel Frignano (Modena), 19-22 Maggio 1994	1995	M. Costato A. Degasperis M. Milani
+	Construction of reflectionless potentials with infinite discrete spectrum	1994	A. Degasperis A. B. Shabat
+ PDF Chat	Nonlocal integrable partners to generalized MKdV and two-dimensional Toda lattice equation in the formalism of a dressing method with quantized spectral parameter	1991	A. Degasperis D. V. Lebedev M. A. Olshanetsky S. Pakuliak A. M. Perelomov P. Santini
+	Localized Waves in N + 1 Dimensions	1991	A. Degasperis
+	Recent Development for Integrable Integro-Differential Equations	1991	A. Degasperis D. V. Lebedev M. A. Olshanetsky S. Pakuliak A. M. Perelomov P. M. Santini
+	Nonlinear evolution equations : integrability and spectral methods	1990	A. Degasperis Allan P. Fordy Muthuswamy Lakshmanan
+	A modified Korteweg-de Vries equation	1987	A. Degasperis
+	Extension of the one-dimensional scattering theory, and ambiguities	1987	A. Degasperis Pierre Sabatier
+ PDF Chat	Nonlinear evolution equations associated with a Riemann–Hilbert scattering problem	1985	A. Degasperis P. M. Santini Mark J. Ablowitz
+	A modified modified Korteweg-de Vries equation	1985	F. Calogero A. Degasperis
+	Linear Evolution Equations Associated with Isospectral Evolutions of Differential Operators	1983	A. Degasperis
+	Linear operator and conservation laws for a class of nonlinear integro-differential evolution equations	1983	A. Degasperis P. M. Santini
+	On the conservation laws associated with Lax equations	1982	A. Degasperis
+	Reduction technique for matrix nonlinear evolution equations	1982	A. Degasperis
+	Solution by the spectral-transform method of a nonlinear evolution equation including as a special case the cylindrical KdV equation	1978	F. Calogero A. Degasperis
+	Inverse spectral problem for the one-dimensional Schrödinger equation with an additional linear potential	1978	F. Calogero A. Degasperis
+	Exact solution via the spectral transform of a nonlinear evolution equation with linearlyx-dependent coefficients	1978	F. Calogero A. Degasperis
+	Extension of the spectral transform method for solving nonlinear evolution equations	1978	F. Calogero A. Degasperis
+	Spectral transform and nonlinear evolution equations	1978	F. Calogero A. Degasperis
+	Bäcklund transformations, nonlinear superposition principle, multisoliton solutions and conserved quantities for the « boomeron » nonlinear evolution equation	1976	F. Calogero A. Degasperis
+	Coupled nonlinear evolution equations solvable via the inverse spectral transform, and solitons that come back: the boomeron	1976	F. Calogero A. Degasperis
+	Transformations between solutions of different nonlinear evolution equations solvable via the same inverse spectral transform, generalized resolvent formulae and nonlinear operator identities	1976	F. Calogero A. Degasperis
+	Nonlinear evolution equations solvable by the inverse spectral transform.—I	1976	F. Calogero A. Degasperis
+	Nonlinear evolution equations solvable by the inverse spectral transform associated with the multichannel Schrödinger problem, and properties of their solutions	1976	F. Calogero A. Degasperis

Common Coauthors

Coauthor	Papers Together
F. Calogero	14
S. V. Manakov	8
P. Santini	6
Sara Lombardo	6
P. M. Santini	5
Matteo Sommacal	4
Darryl D. Holm	3
Andrew N. W. Hone	3
D. V. Lebedev	2
M. A. Olshanetsky	2
S. Pakuliak	2
A. M. Perelomov	2
Alejandro B. Aceves	2
Marcos Caso-Huerta	2
Diego Rial	2
S. Wabnitz	2
Michela Procesi	2
A. I. Zenchuk	1
A. B. Shabat	1
S. De Lillo	1
M. Costato	1
M. Milani	1
Mark J. Ablowitz	1
Mariano Fernando de Leo	1
Ji Xiaoda	1
Pierre Sabatier	1
W. K. Schief	1
S. N. M. Ruijsenaars	1
Priscila Leal da Silva	1
Juan Pablo Borgna	1
Allan P. Fordy	1
F. Tinebra	1
C. Rogers	1
Muthuswamy Lakshmanan	1
Piazzale Aldo Moro	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Coupled nonlinear evolution equations solvable via the inverse spectral transform, and solitons that come back: the boomeron	1976	F. Calogero A. Degasperis	10
+	Spectral Transform and Solitons	1983	F. Calogero	9
+	Nonlinear evolution equations solvable by the inverse spectral transform.—I	1976	F. Calogero A. Degasperis	8
+	Nonlinear evolution equations solvable by the inverse spectral transform associated with the multichannel Schrödinger problem, and properties of their solutions	1976	F. Calogero A. Degasperis	7
+	What Is Integrability?	1991	В. Е. Захаров	6
+	Nonlinear evolution equations solvable by the spectral transform	1978	F. Calogero	6
+	Why Are Certain Nonlinear PDEs Both Widely Applicable and Integrable?	1991	F. Calogero	5
+	Nonlinear Schrödinger-type equations from multiscale reduction of PDEs. I. Systematic derivation	2000	F. Calogero A. Degasperis Ji Xiaoda	5
+	New Integrable Equations of Nonlinear Schrödinger Type	2004	F. Calogero A. Degasperis	5
+	Bäcklund transformations, nonlinear superposition principle, multisoliton solutions and conserved quantities for the « boomeron » nonlinear evolution equation	1976	F. Calogero A. Degasperis	5
+	On the integrability of linear and nonlinear partial differential equations	2000	A. S. Fokas	4
+	Darboux Transformations and Solitons	1991	V. B. Matveev Mikhail A. Salle	4
+	Extension of the spectral transform method for solving nonlinear evolution equations	1978	F. Calogero A. Degasperis	4
+	A method to generate solvable nonlinear evolution equations	1975	F. Calogero	4
+	The Three‐Wave Interaction—A Nondispersive Phenomenon	1976	D. J. Kaup	3
+	A unified transform method for solving linear and certain nonlinear PDEs	1997	A. S. Fokas	3
+	Soliton generation for initial-boundary-value problems	1992	A. S. Fokas A. R. Its	3
+	Transformations between solutions of different nonlinear evolution equations solvable via the same inverse spectral transform, generalized resolvent formulae and nonlinear operator identities	1976	F. Calogero A. Degasperis	3
+	Bäcklund Transformation for Solutions of the Korteweg-de Vries Equation	1973	H. D. Wahlquist F. B. Estabrook	3
+	Integrable nonlocal wave interaction models	2011	A. Degasperis	3
+	None	2002	A. S. Fokas	3
+ PDF Chat	Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime	2014	Fabio Baronio Matteo Conforti A. Degasperis Sara Lombardo M. Onorato S. Wabnitz	3
+	Integrals of nonlinear equations of evolution and solitary waves	1968	Peter D. Lax	3
+	New integrable PDEs of boomeronic type	2006	F. Calogero A. Degasperis	3
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm	3
+	To the integrability of the system of two coupled nonlinear Schrödinger equations	1982	В. Е. Захаров E. I. Schulman	3
+ PDF Chat	None	2002	A. Degasperis Darryl D. Holm Andrew N. W. Hone	3
+	Multiple-scale perturbation beyond the nonlinear Schroedinger equation. I	1997	A. Degasperis S. V. Manakov P. M. Santini	3
+	Elbow scattering and inverse scattering applications to LKdV and KdV	2000	Pierre Sabatier	3
+	Nonlinear evolution equations solvable by the inverse spectral transform	1978	F. Calogero	3
+ PDF Chat	Conservation laws for classes of nonlinear evolution equations solvable by the spectral transform	1978	F. Calogero A. Degasperis	3
+	On the complete integrability of the two-dimensional classical Thirring model	1977	E. A. Kuznetsov А. В. Михайлов	2
+	Integrability of the two-dimensional Thirring model	1976	А. В. Михайлов	2
+ PDF Chat	Generalized internal long waves equations: Construction, Hamiltonian structure, and conservation laws	1983	D. R. Lebedev Andrey Radul	2
+	Necessary conditions for integrability of nonlinear PDEs	1987	F. Calogero Wiktor Eckhaus	2
+ PDF Chat	Exact solutions of the 3-wave resonant interaction equation	2006	A. Degasperis Sara Lombardo	2
+	Inverse spectral problem for the one-dimensional Schrödinger equation with an additional linear potential	1978	F. Calogero A. Degasperis	2
+	Boundary conditions for integrable equations	1987	E. K. Sklyanin	2
+ PDF Chat	The Zakharov-Shabat spectral problem on the semi-line: Hilbert formulation and applications	2001	J. Mustre de León A Spire	2
+	Solution by the spectral-transform method of a nonlinear evolution equation including as a special case the cylindrical KdV equation	1978	F. Calogero A. Degasperis	2
+	A linear scattering problem for the finite depth equation	1980	John Gibbons Boris A. Kupershmidt	2
+	Exact solution via the spectral transform of a nonlinear evolution equation with linearlyx-dependent coefficients	1978	F. Calogero A. Degasperis	2
+	Multiscale Expansion and Integrability of Dispersive Wave Equations	2008	A. Degasperis	2
+	Two–dimensional linear partial differential equations in a convex polygon	2001	A. S. Fokas	2
+ PDF Chat	Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs	2003	Darryl D. Holm Martin Staley	2
+	On the initial-boundary value problems for soliton equations	2001	A. Degasperis S. V. Manakov P. M. Santini	2
+ PDF Chat	Multicomponent integrable wave equations: II. Soliton solutions	2009	A. Degasperis Sara Lombardo	2
+	Nonlinear Schrödinger-type equations from multiscale reduction of PDEs. II. Necessary conditions of integrability for real PDEs	2001	F. Calogero A. Degasperis Ji Xiaoda	2
+	None	2002	A. Degasperis S. V. Manakov P. Santini	2
+ PDF Chat	On a Bäcklund transformation and scattering problem for the modified intermediate long wave equation	1984	Junkichi Satsuma Thiab R. Taha Mark J. Ablowitz	2