522
P. Adamopoulou and G. Papamikos
3. C. Athorne, A.P. Fordy, Generalised KdV and mKdV equations associated with symmetric
spaces. J. Phys. A: Math. Gen. 20, 1377–1386 (1987)
4. V.G. Drinfel’d, V.V. Sokolov, Lie algebras and equations of Korteweg-de Vries type. J. Sov.
Math. 30, 1975–2036 (1985)
5. M. Iwao, R. Hirota, Soliton solutions of a coupled modified KdV equations. J. Phys. Soc. Jpn.
66, 577–588 (1997)
6. J. Jackaman, G. Papamikos, T. Pryer, The design of conservative finite element discretisations
for the vectorial modified KdV equation. Appl. Num. Math. 137, 230–251 (2019)
7. A.V. Mikhailov, Reduction in integrable systems. The reduction group. JETP Lett. 32, 187–192
(1980)
8. A.V. Mikhailov, G. Papamikos, J.P. Wang, Dressing method for the vector sine-Gordon
equation and its soliton interactions. Physica D 325, 53–62 (2016)
9. A.V. Mikhailov, G. Papamikos, J.P. Wang, Darboux transformation for the vector sine-Gordon
equation and integrable equations on a sphere. Lett. Math. Phys. 106, 973–996 (2016)
10. J.A. Sanders, J.P. Wang, Integrable systems in n-dimensional Riemannian geometry. Mosc.
Math. J. 3, 1369–1393 (2003)
11. V.V. Sokolov, T. Wolf, Classification of integrable polynomial vector evolution equations. J.
Phys. A: Math. Gen. 34, 11139–11148 (2001)
12. V.E. Zakharov, A.B. Shabat, Integration of nonlinear equations of Mathematical Physics by the
Method of Inverse Scattering. II. Funct. Anal. Appl. 13, 166–174 (1979)
P. Adamopoulou and G. Papamikos
3. C. Athorne, A.P. Fordy, Generalised KdV and mKdV equations associated with symmetric
spaces. J. Phys. A: Math. Gen. 20, 1377–1386 (1987)
4. V.G. Drinfel’d, V.V. Sokolov, Lie algebras and equations of Korteweg-de Vries type. J. Sov.
Math. 30, 1975–2036 (1985)
5. M. Iwao, R. Hirota, Soliton solutions of a coupled modified KdV equations. J. Phys. Soc. Jpn.
66, 577–588 (1997)
6. J. Jackaman, G. Papamikos, T. Pryer, The design of conservative finite element discretisations
for the vectorial modified KdV equation. Appl. Num. Math. 137, 230–251 (2019)
7. A.V. Mikhailov, Reduction in integrable systems. The reduction group. JETP Lett. 32, 187–192
(1980)
8. A.V. Mikhailov, G. Papamikos, J.P. Wang, Dressing method for the vector sine-Gordon
equation and its soliton interactions. Physica D 325, 53–62 (2016)
9. A.V. Mikhailov, G. Papamikos, J.P. Wang, Darboux transformation for the vector sine-Gordon
equation and integrable equations on a sphere. Lett. Math. Phys. 106, 973–996 (2016)
10. J.A. Sanders, J.P. Wang, Integrable systems in n-dimensional Riemannian geometry. Mosc.
Math. J. 3, 1369–1393 (2003)
11. V.V. Sokolov, T. Wolf, Classification of integrable polynomial vector evolution equations. J.
Phys. A: Math. Gen. 34, 11139–11148 (2001)
12. V.E. Zakharov, A.B. Shabat, Integration of nonlinear equations of Mathematical Physics by the
Method of Inverse Scattering. II. Funct. Anal. Appl. 13, 166–174 (1979)