%0 Journal Article %1 Hereman1985283 %A Hereman, W. %A Korpel, A. %A Banerjee, P.P. %D 1985 %J Wave Motion %K solitons %N 3 %P 283 - 289 %R 10.1016/0165-2125(85)90014-9 %T A general physical approach to solitary wave construction from linear solutions %U http://www.sciencedirect.com/science/article/B6TW5-46VC9CN-8/2/b8f3479bcffb268fa1f904640f57e327 %V 7 %X We simplify the physical approach of constructing solitary wave solutions of nondissipative evolution and wave equations from the physical mixing of the real, rather than complex, exponential solutions of the linear equation, in two separate regions. In our new approach, we use mixing in one region only to construct a closed form for the solitary wave solution valid in both regions. Moreover, we extend the approach to deal with equations whose solutions (like tanh2 -type) have a constant term in their expansion into real exponentials, and with equations whose linear part allows more than two exponential solutions. Finally, we also demonstrate the application of our technique to a typical dissipative equation, e.g., the Burgers equation.

@article{Hereman1985283, abstract = {We simplify the physical approach of constructing solitary wave solutions of nondissipative evolution and wave equations from the physical mixing of the real, rather than complex, exponential solutions of the linear equation, in two separate regions. In our new approach, we use mixing in one region only to construct a closed form for the solitary wave solution valid in both regions. Moreover, we extend the approach to deal with equations whose solutions (like tanh2 -type) have a constant term in their expansion into real exponentials, and with equations whose linear part allows more than two exponential solutions. Finally, we also demonstrate the application of our technique to a typical dissipative equation, e.g., the Burgers equation.}, added-at = {2011-02-13T23:57:26.000+0100}, author = {Hereman, W. and Korpel, A. and Banerjee, P.P.}, biburl = {https://www.bibsonomy.org/bibtex/20ab1f85682a1acb967604af84417b263/casvada}, description = {ScienceDirect - Wave Motion : A general physical approach to solitary wave construction from linear solutions}, doi = {10.1016/0165-2125(85)90014-9}, interhash = {613d3c402053ee8be976ea4e057baac5}, intrahash = {0ab1f85682a1acb967604af84417b263}, issn = {0165-2125}, journal = {Wave Motion}, keywords = {solitons}, number = 3, pages = {283 - 289}, timestamp = {2011-02-13T23:57:26.000+0100}, title = {A general physical approach to solitary wave construction from linear solutions}, url = {http://www.sciencedirect.com/science/article/B6TW5-46VC9CN-8/2/b8f3479bcffb268fa1f904640f57e327}, volume = 7, year = 1985 }