✦ LIBER ✦

A sine-cosine method for handlingnonlinear wave equations

✍ Scribed by A.-M. Wazwaz

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 435 KB
Volume: 40
Category: Article
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2003.12.010

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Cosine methods for a class of semilinear

Cosine methods for a class of semilinear second-order wave equations

✍ Ch.G. Makridakis 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 757 KB

A generalization of the cosine-sine func

A generalization of the cosine-sine functional equation on groups

✍ J.K. Chung(J.K. Jong); Pl. Kannappan; C.T. Ng 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 930 KB

Comparison between the homotopy perturba

Comparison between the homotopy perturbation method and the sine–cosine wavelet method for solving linear integro-differential equations

✍ M. Tavassoli Kajani; M. Ghasemi; E. Babolian 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 191 KB

This paper compares the homotopy perturbation method with the sine-cosine wavelet method for solving linear integrodifferential equations. From the computational viewpoint, the homotopy perturbation method is more efficient and easier than the sine-cosine wavelet method.

Bifurcations of travelling wave solution

Bifurcations of travelling wave solutions in the (N + 1)-dimensional sine–cosine-Gordon equations

✍ Shengqiang Tang; Chunhai Li; Kelei Zhang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 544 KB

In this paper, the (N + 1)-dimensional sine-cosine-Gordon equations are studied. The existence of solitary wave, kink and anti-kink wave, and periodic wave solutions are proved, by using the method of bifurcation theory of dynamical systems. All possible bounded exact explicit parametric representat

Homoclinic breather-wave solutions for S

Homoclinic breather-wave solutions for Sine–Gordon equation

✍ Zhengde Dai; Daquan Xian 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 429 KB

A new type of two-wave solution, homoclinic breather-wave solution, for (1 + 1)D Sine-Gordon (SG) equation is obtained using the extended homoclinic test method. Moreover, the mechanical feature of two-wave solution is investigated, and the dynamical behavior of solution is exhibited.

The tanh and the sine–cosine methods for

The tanh and the sine–cosine methods for a reliable treatment of the modified equal width equation and its variants

✍ Abdul-Majid Wazwaz 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 354 KB

The modified equal width equation and two of its variants are investigated. The strategy here rests mainly on a sine-cosine ansatz and the tanh method. Both schemes work well and reveal exact solutions with distinct physical structures. The obtained solutions include compactons, solitons, solitary p