𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New kinks and solitons solutions to the (2+1) -dimensional Konopelchenko–Dubrovsky equation

✍ Scribed by Abdul-Majid Wazwaz

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
173 KB
Volume
45
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis

In this work, the (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equation is studied. The tanh-sech method, the cosh-sinh method and exponential functions method are efficiently employed to handle this equation. By means of these methods, the solitary wave, periodic wave and kink solutions are formally obtained.

📜 SIMILAR VOLUMES

New exact solutions to the -dimensional
New exact solutions to the -dimensional Konopelchenko–Dubrovsky equation
✍ Yang Wang; Long Wei 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 214 KB

In this paper, the extended tanh method, the sech-csch ansatz, the Hirota's bilinear formalism combined with the simplified Hereman form and the Darboux transformation method are applied to determine the traveling wave solutions and other kinds of exact solutions for the ð2 þ 1Þ-dimensional Konopelc

New solitonic solutions to a (3+1)-dimen
New solitonic solutions to a (3+1)-dimensional Jimbo-Miwa equation
✍ Woopyo Hong; Kwang-Sik Oh 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 148 KB

Performing computerized symbolic computation, we are able to present new analytic solutions of a (3+l)-dimensional Jimbo-Miwa equation which does not pass any of the conventional integrability tests. Applying the generalized tanh method, we have found such exact solutions as both the nontraveling-so

Soliton Solution of New (2+1) Dimensiona
Soliton Solution of New (2+1) Dimensional Nonlinear Partial Differential Equations
✍ A. Uthayakumar; K. Nakkeeran; K. Porsezian 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 225 KB

Using singularity structure analysis\ we establish the integrability property of new "1¦0# dimensional nonlinear partial di}erential equations "NPDEs# derived by Maccari from integrable equations through the reduction method[ We also derive the bilinear form and one soliton solution is explicitly ge