A.R. Champneys Codimension-one persistence beyond all orders of homoclinic orbits to singular saddle centres in reversible systems Nonlinearity 14 2002 87-112
A.R. Champneys M.D. Groves A global investigation of solitary wave solutions to a two-parameter model for water waves J. Fluid Mech. 342 1997 199-229
A.R. Champneys B.A. Malomed J. Yang D.J. Kaup "Embedded solitons": Solitary waves in resonance with the linear spectrum Physica D 154 2000 340-354
W. Craig M.D. Groves Hamiltonian long-wave approximations to the water-wave problem Wave Motion 19 1994 367-389
A. Doelman T.J. Kaper P.A. Zegeling Pattern formation in the one-dimensional Gray-Scott model Nonlinearity 10 1997 523-563
B. Fornberg Calculation of weights in finite difference formulas SIAM Rev. 40 1998 685-691
E. Hairer G. Wanner Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems 1991 Springer Berlin
J. Kautsky N.K. Nichols Equidistributing meshes with constraints SIAM J. Sci. Statist. Comput. 1 1980 499-511
R. Kawahara Oscillatory solitary waves in dispersive media J. Phys. Soc. Japan 33 1972 260-264
S. Kichenassamy P.J. Olver Existence and non-existence of solitary wave solutions to higher-order model evolution equations SIAM J. Math. Anal. 23 1992 1141-1166
L.R. Petzold, A description of DASSL: A differential/algebraic system solver, IMACS Trans. Sci. Comput. (1983) 65-68.
P. Saucez A. Vande Wouwer W.E. Schiesser An adaptive method of lines solution of the Korteweg-de Vries equation Comput. Math. Appl. 35 1998 13-25
W.E. Schiesser PDE Boundary Conditions from Minimum Reduction of the PDE Appl. Numer. Math. 20 1996 171-179
A. Vande Wouwer P. Saucez W.E. Schiesser Some user-oriented comparisons of adaptive grid methods for partial differential equations in one space dimension Appl. Numer. Math. 26 1998 49-62
A. Vande Wouwer, P. Saucez, W.E. Schiesser (Eds.), Adaptive Method Lines, Chapman & Hall/CRC, Boca Raton, 2001.
J. Yang Dynamics of embedded solitons in the extended Korteweg-de Vries equations Stud. Appl. Math. 106 2001 337-365
J. Yang B.A. Malomed D.J. Kaup Embedded solitons in second-harmonic-generating systems Phys. Rev. Lett. 83 1999 1958-1961
J. Yang B.A. Malomed D.J. Kaup A.R. Champneys Embedded solitons: A new type of solitary waves Maths. Comput. Simulation 56 2001 585-600
P.A. Zegeling r -refinement for evolutionary PDEs with finite elements of finite differences Appl. Numer. Math. 26 1998 97-104
P.A. Zegeling R. Keppens Adaptive method of lines for magneto-hydrodynamic PDE models, in: A. Vande Wouwer, P. Saucez, W.E. Schiesser (Eds.), Adaptive Method of Lines 2001 Chapman & Hall/CRC Boca Raton