We explain the relation between the weak asymptotics method introduced by the author and V. M. Shelkovich and the classical Maslov-Whitham method for constructing approximate solutions describing the propagation of nonlinear solitary waves.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-5, author = {V. G. Danilov}, title = {On the relation between the Maslov-Whitham method and the weak asymptotics method}, journal = {Banach Center Publications}, volume = {89}, year = {2010}, pages = {55-65}, zbl = {1193.35183}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-5} }
V. G. Danilov. On the relation between the Maslov-Whitham method and the weak asymptotics method. Banach Center Publications, Tome 89 (2010) pp. 55-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-5/